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Finding the Third Proportional to 332,306 and 731,068

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Solution

The third proportional to 332,306 and 731,068 is: 1,608,338.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,306 : 731,068 = 731,068 : x
  2. Step 2: Convert to fraction form
    332,306/731,068 = 731,068/x
  3. Step 3: Cross multiply
    332,306x = 731,068 × 731,068
  4. Step 4: Simplify right side
    332,306x = 534,460,420,624
  5. Step 5: Solve for x
    x = 534,460,420,624/332,306
  6. Step 6: Final answer
    x = 1,608,338.16

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.