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Finding the Third Proportional to 100,396.13 and 155,455.88

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Solution

The third proportional to 100,396.13 and 155,455.88 is: 240,711.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,396.13 : 155,455.88 = 155,455.88 : x
  2. Step 2: Convert to fraction form
    100,396.13/155,455.88 = 155,455.88/x
  3. Step 3: Cross multiply
    100,396.13x = 155,455.88 × 155,455.88
  4. Step 4: Simplify right side
    100,396.13x = 24,166,529,072.02
  5. Step 5: Solve for x
    x = 24,166,529,072.02/100,396.13
  6. Step 6: Final answer
    x = 240,711.77

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.