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Finding the Third Proportional to 580,883,204,872 and 1,243,366,693,159

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Solution

The third proportional to 580,883,204,872 and 1,243,366,693,159 is: 2,661,396,853,430.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,883,204,872 : 1,243,366,693,159 = 1,243,366,693,159 : x
  2. Step 2: Convert to fraction form
    580,883,204,872/1,243,366,693,159 = 1,243,366,693,159/x
  3. Step 3: Cross multiply
    580,883,204,872x = 1,243,366,693,159 × 1,243,366,693,159
  4. Step 4: Simplify right side
    580,883,204,872x = 1,545,960,733,657,146,790,510,592
  5. Step 5: Solve for x
    x = 1,545,960,733,657,146,790,510,592/580,883,204,872
  6. Step 6: Final answer
    x = 2,661,396,853,430.81

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.