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Finding the Third Proportional to 71,340 and 156,216

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Solution

The third proportional to 71,340 and 156,216 is: 342,072.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,340 : 156,216 = 156,216 : x
  2. Step 2: Convert to fraction form
    71,340/156,216 = 156,216/x
  3. Step 3: Cross multiply
    71,340x = 156,216 × 156,216
  4. Step 4: Simplify right side
    71,340x = 24,403,438,656
  5. Step 5: Solve for x
    x = 24,403,438,656/71,340
  6. Step 6: Final answer
    x = 342,072.31

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.