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Finding the Third Proportional to 291,129 and 636,567

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Solution

The third proportional to 291,129 and 636,567 is: 1,391,883.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,129 : 636,567 = 636,567 : x
  2. Step 2: Convert to fraction form
    291,129/636,567 = 636,567/x
  3. Step 3: Cross multiply
    291,129x = 636,567 × 636,567
  4. Step 4: Simplify right side
    291,129x = 405,217,545,489
  5. Step 5: Solve for x
    x = 405,217,545,489/291,129
  6. Step 6: Final answer
    x = 1,391,883.14

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.