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Finding the Third Proportional to 187.52 and 285.57

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Solution

The third proportional to 187.52 and 285.57 is: 434.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.52 : 285.57 = 285.57 : x
  2. Step 2: Convert to fraction form
    187.52/285.57 = 285.57/x
  3. Step 3: Cross multiply
    187.52x = 285.57 × 285.57
  4. Step 4: Simplify right side
    187.52x = 81,552.63
  5. Step 5: Solve for x
    x = 81,552.63/187.52
  6. Step 6: Final answer
    x = 434.89

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.