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Finding the Third Proportional to 90,470 and 129,859

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Solution

The third proportional to 90,470 and 129,859 is: 186,397.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,470 : 129,859 = 129,859 : x
  2. Step 2: Convert to fraction form
    90,470/129,859 = 129,859/x
  3. Step 3: Cross multiply
    90,470x = 129,859 × 129,859
  4. Step 4: Simplify right side
    90,470x = 16,863,359,881
  5. Step 5: Solve for x
    x = 16,863,359,881/90,470
  6. Step 6: Final answer
    x = 186,397.26

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.