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Finding the Third Proportional to 156,540 and 209,715

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Solution

The third proportional to 156,540 and 209,715 is: 280,952.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,540 : 209,715 = 209,715 : x
  2. Step 2: Convert to fraction form
    156,540/209,715 = 209,715/x
  3. Step 3: Cross multiply
    156,540x = 209,715 × 209,715
  4. Step 4: Simplify right side
    156,540x = 43,980,381,225
  5. Step 5: Solve for x
    x = 43,980,381,225/156,540
  6. Step 6: Final answer
    x = 280,952.99

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.