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Finding the Third Proportional to 81,464 and 121,576

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Solution

The third proportional to 81,464 and 121,576 is: 181,438.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,464 : 121,576 = 121,576 : x
  2. Step 2: Convert to fraction form
    81,464/121,576 = 121,576/x
  3. Step 3: Cross multiply
    81,464x = 121,576 × 121,576
  4. Step 4: Simplify right side
    81,464x = 14,780,723,776
  5. Step 5: Solve for x
    x = 14,780,723,776/81,464
  6. Step 6: Final answer
    x = 181,438.72

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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.