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Finding the Third Proportional to 198,722 and 291,747

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Solution

The third proportional to 198,722 and 291,747 is: 428,318.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,722 : 291,747 = 291,747 : x
  2. Step 2: Convert to fraction form
    198,722/291,747 = 291,747/x
  3. Step 3: Cross multiply
    198,722x = 291,747 × 291,747
  4. Step 4: Simplify right side
    198,722x = 85,116,312,009
  5. Step 5: Solve for x
    x = 85,116,312,009/198,722
  6. Step 6: Final answer
    x = 428,318.52

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.