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Finding the Third Proportional to 90,164 and 129,873

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Solution

The third proportional to 90,164 and 129,873 is: 187,070.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,164 : 129,873 = 129,873 : x
  2. Step 2: Convert to fraction form
    90,164/129,873 = 129,873/x
  3. Step 3: Cross multiply
    90,164x = 129,873 × 129,873
  4. Step 4: Simplify right side
    90,164x = 16,866,996,129
  5. Step 5: Solve for x
    x = 16,866,996,129/90,164
  6. Step 6: Final answer
    x = 187,070.18

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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.