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Finding the Third Proportional to 127,088 and 169,431

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Solution

The third proportional to 127,088 and 169,431 is: 225,881.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,088 : 169,431 = 169,431 : x
  2. Step 2: Convert to fraction form
    127,088/169,431 = 169,431/x
  3. Step 3: Cross multiply
    127,088x = 169,431 × 169,431
  4. Step 4: Simplify right side
    127,088x = 28,706,863,761
  5. Step 5: Solve for x
    x = 28,706,863,761/127,088
  6. Step 6: Final answer
    x = 225,881.78

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.