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Finding the Third Proportional to 156,782 and 238,859

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Solution

The third proportional to 156,782 and 238,859 is: 363,904.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,782 : 238,859 = 238,859 : x
  2. Step 2: Convert to fraction form
    156,782/238,859 = 238,859/x
  3. Step 3: Cross multiply
    156,782x = 238,859 × 238,859
  4. Step 4: Simplify right side
    156,782x = 57,053,621,881
  5. Step 5: Solve for x
    x = 57,053,621,881/156,782
  6. Step 6: Final answer
    x = 363,904.16

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.