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Finding the Third Proportional to 161,640 and 217,432

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Solution

The third proportional to 161,640 and 217,432 is: 292,481.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,640 : 217,432 = 217,432 : x
  2. Step 2: Convert to fraction form
    161,640/217,432 = 217,432/x
  3. Step 3: Cross multiply
    161,640x = 217,432 × 217,432
  4. Step 4: Simplify right side
    161,640x = 47,276,674,624
  5. Step 5: Solve for x
    x = 47,276,674,624/161,640
  6. Step 6: Final answer
    x = 292,481.28

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.