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Finding the Third Proportional to 51,471,586 and 78,413,402

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Solution

The third proportional to 51,471,586 and 78,413,402 is: 119,457,395.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,471,586 : 78,413,402 = 78,413,402 : x
  2. Step 2: Convert to fraction form
    51,471,586/78,413,402 = 78,413,402/x
  3. Step 3: Cross multiply
    51,471,586x = 78,413,402 × 78,413,402
  4. Step 4: Simplify right side
    51,471,586x = 6,148,661,613,213,604
  5. Step 5: Solve for x
    x = 6,148,661,613,213,604/51,471,586
  6. Step 6: Final answer
    x = 119,457,395.64

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.