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Finding the Third Proportional to 156,981 and 339,863

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Solution

The third proportional to 156,981 and 339,863 is: 735,801.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,981 : 339,863 = 339,863 : x
  2. Step 2: Convert to fraction form
    156,981/339,863 = 339,863/x
  3. Step 3: Cross multiply
    156,981x = 339,863 × 339,863
  4. Step 4: Simplify right side
    156,981x = 115,506,858,769
  5. Step 5: Solve for x
    x = 115,506,858,769/156,981
  6. Step 6: Final answer
    x = 735,801.52

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.