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Finding the Third Proportional to 81,405 and 119,890.13

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Solution

The third proportional to 81,405 and 119,890.13 is: 176,569.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,405 : 119,890.13 = 119,890.13 : x
  2. Step 2: Convert to fraction form
    81,405/119,890.13 = 119,890.13/x
  3. Step 3: Cross multiply
    81,405x = 119,890.13 × 119,890.13
  4. Step 4: Simplify right side
    81,405x = 14,373,642,072.52
  5. Step 5: Solve for x
    x = 14,373,642,072.52/81,405
  6. Step 6: Final answer
    x = 176,569.52

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.