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Finding the Third Proportional to 106,278 and 156,987

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Solution

The third proportional to 106,278 and 156,987 is: 231,891.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,278 : 156,987 = 156,987 : x
  2. Step 2: Convert to fraction form
    106,278/156,987 = 156,987/x
  3. Step 3: Cross multiply
    106,278x = 156,987 × 156,987
  4. Step 4: Simplify right side
    106,278x = 24,644,918,169
  5. Step 5: Solve for x
    x = 24,644,918,169/106,278
  6. Step 6: Final answer
    x = 231,891.06

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.