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Finding the Third Proportional to 156,956 and 387,011

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Solution

The third proportional to 156,956 and 387,011 is: 954,264.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,956 : 387,011 = 387,011 : x
  2. Step 2: Convert to fraction form
    156,956/387,011 = 387,011/x
  3. Step 3: Cross multiply
    156,956x = 387,011 × 387,011
  4. Step 4: Simplify right side
    156,956x = 149,777,514,121
  5. Step 5: Solve for x
    x = 149,777,514,121/156,956
  6. Step 6: Final answer
    x = 954,264.34

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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.