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Finding the Third Proportional to 81,109 and 119,557.50

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Solution

The third proportional to 81,109 and 119,557.50 is: 176,231.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,109 : 119,557.50 = 119,557.50 : x
  2. Step 2: Convert to fraction form
    81,109/119,557.50 = 119,557.50/x
  3. Step 3: Cross multiply
    81,109x = 119,557.50 × 119,557.50
  4. Step 4: Simplify right side
    81,109x = 14,293,995,806.25
  5. Step 5: Solve for x
    x = 14,293,995,806.25/81,109
  6. Step 6: Final answer
    x = 176,231.93

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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.