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Finding the Third Proportional to 187.47 and 279.12

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Solution

The third proportional to 187.47 and 279.12 is: 415.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.47 : 279.12 = 279.12 : x
  2. Step 2: Convert to fraction form
    187.47/279.12 = 279.12/x
  3. Step 3: Cross multiply
    187.47x = 279.12 × 279.12
  4. Step 4: Simplify right side
    187.47x = 77,907.71
  5. Step 5: Solve for x
    x = 77,907.71/187.47
  6. Step 6: Final answer
    x = 415.58

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.