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Finding the Third Proportional to 71,838.75 and 156,112.50

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Solution

The third proportional to 71,838.75 and 156,112.50 is: 339,247.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,838.75 : 156,112.50 = 156,112.50 : x
  2. Step 2: Convert to fraction form
    71,838.75/156,112.50 = 156,112.50/x
  3. Step 3: Cross multiply
    71,838.75x = 156,112.50 × 156,112.50
  4. Step 4: Simplify right side
    71,838.75x = 24,371,112,656.25
  5. Step 5: Solve for x
    x = 24,371,112,656.25/71,838.75
  6. Step 6: Final answer
    x = 339,247.45

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.