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Finding the Third Proportional to 149,691 and 321,558

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Solution

The third proportional to 149,691 and 321,558 is: 690,753.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,691 : 321,558 = 321,558 : x
  2. Step 2: Convert to fraction form
    149,691/321,558 = 321,558/x
  3. Step 3: Cross multiply
    149,691x = 321,558 × 321,558
  4. Step 4: Simplify right side
    149,691x = 103,399,547,364
  5. Step 5: Solve for x
    x = 103,399,547,364/149,691
  6. Step 6: Final answer
    x = 690,753.27

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.