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Finding the Third Proportional to 132,431 and 170,040

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Solution

The third proportional to 132,431 and 170,040 is: 218,329.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,431 : 170,040 = 170,040 : x
  2. Step 2: Convert to fraction form
    132,431/170,040 = 170,040/x
  3. Step 3: Cross multiply
    132,431x = 170,040 × 170,040
  4. Step 4: Simplify right side
    132,431x = 28,913,601,600
  5. Step 5: Solve for x
    x = 28,913,601,600/132,431
  6. Step 6: Final answer
    x = 218,329.56

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.