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Finding the Third Proportional to 156,954 and 387,006

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Solution

The third proportional to 156,954 and 387,006 is: 954,251.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,954 : 387,006 = 387,006 : x
  2. Step 2: Convert to fraction form
    156,954/387,006 = 387,006/x
  3. Step 3: Cross multiply
    156,954x = 387,006 × 387,006
  4. Step 4: Simplify right side
    156,954x = 149,773,644,036
  5. Step 5: Solve for x
    x = 149,773,644,036/156,954
  6. Step 6: Final answer
    x = 954,251.84

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Why These Related Problems?

These problems maintain the same ratio (2.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.