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Finding the Third Proportional to 81,089.86 and 129,129.82

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Solution

The third proportional to 81,089.86 and 129,129.82 is: 205,630.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,089.86 : 129,129.82 = 129,129.82 : x
  2. Step 2: Convert to fraction form
    81,089.86/129,129.82 = 129,129.82/x
  3. Step 3: Cross multiply
    81,089.86x = 129,129.82 × 129,129.82
  4. Step 4: Simplify right side
    81,089.86x = 16,674,510,493.94
  5. Step 5: Solve for x
    x = 16,674,510,493.94/81,089.86
  6. Step 6: Final answer
    x = 205,630.03

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.