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Finding the Third Proportional to 100,156 and 155,980

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Solution

The third proportional to 100,156 and 155,980 is: 242,918.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,156 : 155,980 = 155,980 : x
  2. Step 2: Convert to fraction form
    100,156/155,980 = 155,980/x
  3. Step 3: Cross multiply
    100,156x = 155,980 × 155,980
  4. Step 4: Simplify right side
    100,156x = 24,329,760,400
  5. Step 5: Solve for x
    x = 24,329,760,400/100,156
  6. Step 6: Final answer
    x = 242,918.65

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.