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Finding the Third Proportional to 71,988.75 and 157,099.50

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Solution

The third proportional to 71,988.75 and 157,099.50 is: 342,834.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,988.75 : 157,099.50 = 157,099.50 : x
  2. Step 2: Convert to fraction form
    71,988.75/157,099.50 = 157,099.50/x
  3. Step 3: Cross multiply
    71,988.75x = 157,099.50 × 157,099.50
  4. Step 4: Simplify right side
    71,988.75x = 24,680,252,900.25
  5. Step 5: Solve for x
    x = 24,680,252,900.25/71,988.75
  6. Step 6: Final answer
    x = 342,834.86

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.