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Finding the Third Proportional to 112,460 and 169,431

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Solution

The third proportional to 112,460 and 169,431 is: 255,262.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,460 : 169,431 = 169,431 : x
  2. Step 2: Convert to fraction form
    112,460/169,431 = 169,431/x
  3. Step 3: Cross multiply
    112,460x = 169,431 × 169,431
  4. Step 4: Simplify right side
    112,460x = 28,706,863,761
  5. Step 5: Solve for x
    x = 28,706,863,761/112,460
  6. Step 6: Final answer
    x = 255,262.88

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.