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Finding the Third Proportional to 100.14 and 155.99

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Solution

The third proportional to 100.14 and 155.99 is: 242.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    100.14 : 155.99 = 155.99 : x
  2. Step 2: Convert to fraction form
    100.14/155.99 = 155.99/x
  3. Step 3: Cross multiply
    100.14x = 155.99 × 155.99
  4. Step 4: Simplify right side
    100.14x = 24,332.34
  5. Step 5: Solve for x
    x = 24,332.34/100.14
  6. Step 6: Final answer
    x = 242.98

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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.