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Finding the Third Proportional to 81,000.84 and 111,237.05

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Solution

The third proportional to 81,000.84 and 111,237.05 is: 152,759.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,000.84 : 111,237.05 = 111,237.05 : x
  2. Step 2: Convert to fraction form
    81,000.84/111,237.05 = 111,237.05/x
  3. Step 3: Cross multiply
    81,000.84x = 111,237.05 × 111,237.05
  4. Step 4: Simplify right side
    81,000.84x = 12,373,680,597.47
  5. Step 5: Solve for x
    x = 12,373,680,597.47/81,000.84
  6. Step 6: Final answer
    x = 152,759.90

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.