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Finding the Third Proportional to 156,687 and 369,811

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Solution

The third proportional to 156,687 and 369,811 is: 872,824.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,687 : 369,811 = 369,811 : x
  2. Step 2: Convert to fraction form
    156,687/369,811 = 369,811/x
  3. Step 3: Cross multiply
    156,687x = 369,811 × 369,811
  4. Step 4: Simplify right side
    156,687x = 136,760,175,721
  5. Step 5: Solve for x
    x = 136,760,175,721/156,687
  6. Step 6: Final answer
    x = 872,824.01

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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.