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Finding the Third Proportional to 445,533 and 731,409

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Solution

The third proportional to 445,533 and 731,409 is: 1,200,717.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,533 : 731,409 = 731,409 : x
  2. Step 2: Convert to fraction form
    445,533/731,409 = 731,409/x
  3. Step 3: Cross multiply
    445,533x = 731,409 × 731,409
  4. Step 4: Simplify right side
    445,533x = 534,959,125,281
  5. Step 5: Solve for x
    x = 534,959,125,281/445,533
  6. Step 6: Final answer
    x = 1,200,717.18

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.