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Finding the Third Proportional to 172,475 and 231,775

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Solution

The third proportional to 172,475 and 231,775 is: 311,463.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,475 : 231,775 = 231,775 : x
  2. Step 2: Convert to fraction form
    172,475/231,775 = 231,775/x
  3. Step 3: Cross multiply
    172,475x = 231,775 × 231,775
  4. Step 4: Simplify right side
    172,475x = 53,719,650,625
  5. Step 5: Solve for x
    x = 53,719,650,625/172,475
  6. Step 6: Final answer
    x = 311,463.40

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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.