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Finding the Third Proportional to 51,750 and 82,084.50

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Solution

The third proportional to 51,750 and 82,084.50 is: 130,200.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,750 : 82,084.50 = 82,084.50 : x
  2. Step 2: Convert to fraction form
    51,750/82,084.50 = 82,084.50/x
  3. Step 3: Cross multiply
    51,750x = 82,084.50 × 82,084.50
  4. Step 4: Simplify right side
    51,750x = 6,737,865,140.25
  5. Step 5: Solve for x
    x = 6,737,865,140.25/51,750
  6. Step 6: Final answer
    x = 130,200.29

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.