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Finding the Third Proportional to 137.68 and 187.00

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Solution

The third proportional to 137.68 and 187.00 is: 253.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.68 : 187.00 = 187.00 : x
  2. Step 2: Convert to fraction form
    137.68/187.00 = 187.00/x
  3. Step 3: Cross multiply
    137.68x = 187.00 × 187.00
  4. Step 4: Simplify right side
    137.68x = 34,967.54
  5. Step 5: Solve for x
    x = 34,967.54/137.68
  6. Step 6: Final answer
    x = 253.98

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.