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Finding the Third Proportional to 546,860 and 731,680

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Solution

The third proportional to 546,860 and 731,680 is: 978,962.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,860 : 731,680 = 731,680 : x
  2. Step 2: Convert to fraction form
    546,860/731,680 = 731,680/x
  3. Step 3: Cross multiply
    546,860x = 731,680 × 731,680
  4. Step 4: Simplify right side
    546,860x = 535,355,622,400
  5. Step 5: Solve for x
    x = 535,355,622,400/546,860
  6. Step 6: Final answer
    x = 978,962.85

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.