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Finding the Third Proportional to 291,430 and 463,402

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Solution

The third proportional to 291,430 and 463,402 is: 736,854.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,430 : 463,402 = 463,402 : x
  2. Step 2: Convert to fraction form
    291,430/463,402 = 463,402/x
  3. Step 3: Cross multiply
    291,430x = 463,402 × 463,402
  4. Step 4: Simplify right side
    291,430x = 214,741,413,604
  5. Step 5: Solve for x
    x = 214,741,413,604/291,430
  6. Step 6: Final answer
    x = 736,854.18

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.