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Finding the Third Proportional to 83,262.75 and 183,133.13

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Solution

The third proportional to 83,262.75 and 183,133.13 is: 402,794.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,262.75 : 183,133.13 = 183,133.13 : x
  2. Step 2: Convert to fraction form
    83,262.75/183,133.13 = 183,133.13/x
  3. Step 3: Cross multiply
    83,262.75x = 183,133.13 × 183,133.13
  4. Step 4: Simplify right side
    83,262.75x = 33,537,741,472.27
  5. Step 5: Solve for x
    x = 33,537,741,472.27/83,262.75
  6. Step 6: Final answer
    x = 402,794.06

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.