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Finding the Third Proportional to 156,786 and 238,865

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Solution

The third proportional to 156,786 and 238,865 is: 363,913.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,786 : 238,865 = 238,865 : x
  2. Step 2: Convert to fraction form
    156,786/238,865 = 238,865/x
  3. Step 3: Cross multiply
    156,786x = 238,865 × 238,865
  4. Step 4: Simplify right side
    156,786x = 57,056,488,225
  5. Step 5: Solve for x
    x = 57,056,488,225/156,786
  6. Step 6: Final answer
    x = 363,913.16

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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.