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Finding the Third Proportional to 156,698 and 369,839

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Solution

The third proportional to 156,698 and 369,839 is: 872,894.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,698 : 369,839 = 369,839 : x
  2. Step 2: Convert to fraction form
    156,698/369,839 = 369,839/x
  3. Step 3: Cross multiply
    156,698x = 369,839 × 369,839
  4. Step 4: Simplify right side
    156,698x = 136,780,885,921
  5. Step 5: Solve for x
    x = 136,780,885,921/156,698
  6. Step 6: Final answer
    x = 872,894.91

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.