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Finding the Third Proportional to 156,534 and 209,706

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Solution

The third proportional to 156,534 and 209,706 is: 280,939.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,534 : 209,706 = 209,706 : x
  2. Step 2: Convert to fraction form
    156,534/209,706 = 209,706/x
  3. Step 3: Cross multiply
    156,534x = 209,706 × 209,706
  4. Step 4: Simplify right side
    156,534x = 43,976,606,436
  5. Step 5: Solve for x
    x = 43,976,606,436/156,534
  6. Step 6: Final answer
    x = 280,939.65

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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.