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Finding the Third Proportional to 81,056.95 and 129,490.52

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Solution

The third proportional to 81,056.95 and 129,490.52 is: 206,864.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,056.95 : 129,490.52 = 129,490.52 : x
  2. Step 2: Convert to fraction form
    81,056.95/129,490.52 = 129,490.52/x
  3. Step 3: Cross multiply
    81,056.95x = 129,490.52 × 129,490.52
  4. Step 4: Simplify right side
    81,056.95x = 16,767,795,660.12
  5. Step 5: Solve for x
    x = 16,767,795,660.12/81,056.95
  6. Step 6: Final answer
    x = 206,864.37

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.