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Finding the Third Proportional to 391,681 and 528,469

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Solution

The third proportional to 391,681 and 528,469 is: 713,027.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,681 : 528,469 = 528,469 : x
  2. Step 2: Convert to fraction form
    391,681/528,469 = 528,469/x
  3. Step 3: Cross multiply
    391,681x = 528,469 × 528,469
  4. Step 4: Simplify right side
    391,681x = 279,279,483,961
  5. Step 5: Solve for x
    x = 279,279,483,961/391,681
  6. Step 6: Final answer
    x = 713,027.91

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.