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Finding the Third Proportional to 81,462.94 and 121,732.88

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Solution

The third proportional to 81,462.94 and 121,732.88 is: 181,909.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,462.94 : 121,732.88 = 121,732.88 : x
  2. Step 2: Convert to fraction form
    81,462.94/121,732.88 = 121,732.88/x
  3. Step 3: Cross multiply
    81,462.94x = 121,732.88 × 121,732.88
  4. Step 4: Simplify right side
    81,462.94x = 14,818,892,855.77
  5. Step 5: Solve for x
    x = 14,818,892,855.77/81,462.94
  6. Step 6: Final answer
    x = 181,909.63

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.