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Finding the Third Proportional to 71,280 and 156,283.17

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Solution

The third proportional to 71,280 and 156,283.17 is: 342,654.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,280 : 156,283.17 = 156,283.17 : x
  2. Step 2: Convert to fraction form
    71,280/156,283.17 = 156,283.17/x
  3. Step 3: Cross multiply
    71,280x = 156,283.17 × 156,283.17
  4. Step 4: Simplify right side
    71,280x = 24,424,429,811.31
  5. Step 5: Solve for x
    x = 24,424,429,811.31/71,280
  6. Step 6: Final answer
    x = 342,654.74

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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.