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Finding the Third Proportional to 81,472 and 121,704

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Solution

The third proportional to 81,472 and 121,704 is: 181,803.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,472 : 121,704 = 121,704 : x
  2. Step 2: Convert to fraction form
    81,472/121,704 = 121,704/x
  3. Step 3: Cross multiply
    81,472x = 121,704 × 121,704
  4. Step 4: Simplify right side
    81,472x = 14,811,863,616
  5. Step 5: Solve for x
    x = 14,811,863,616/81,472
  6. Step 6: Final answer
    x = 181,803.12

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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.