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Finding the Third Proportional to 291,126 and 636,561

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Solution

The third proportional to 291,126 and 636,561 is: 1,391,871.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,126 : 636,561 = 636,561 : x
  2. Step 2: Convert to fraction form
    291,126/636,561 = 636,561/x
  3. Step 3: Cross multiply
    291,126x = 636,561 × 636,561
  4. Step 4: Simplify right side
    291,126x = 405,209,906,721
  5. Step 5: Solve for x
    x = 405,209,906,721/291,126
  6. Step 6: Final answer
    x = 1,391,871.24

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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.