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Finding the Third Proportional to 291,481 and 636,961

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Solution

The third proportional to 291,481 and 636,961 is: 1,391,923.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,481 : 636,961 = 636,961 : x
  2. Step 2: Convert to fraction form
    291,481/636,961 = 636,961/x
  3. Step 3: Cross multiply
    291,481x = 636,961 × 636,961
  4. Step 4: Simplify right side
    291,481x = 405,719,315,521
  5. Step 5: Solve for x
    x = 405,719,315,521/291,481
  6. Step 6: Final answer
    x = 1,391,923.71

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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.