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Finding the Third Proportional to 99,926 and 129,644

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Solution

The third proportional to 99,926 and 129,644 is: 168,200.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,926 : 129,644 = 129,644 : x
  2. Step 2: Convert to fraction form
    99,926/129,644 = 129,644/x
  3. Step 3: Cross multiply
    99,926x = 129,644 × 129,644
  4. Step 4: Simplify right side
    99,926x = 16,807,566,736
  5. Step 5: Solve for x
    x = 16,807,566,736/99,926
  6. Step 6: Final answer
    x = 168,200.14

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.