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Finding the Third Proportional to 47.45 and 87.00

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Solution

The third proportional to 47.45 and 87.00 is: 159.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    47.45 : 87.00 = 87.00 : x
  2. Step 2: Convert to fraction form
    47.45/87.00 = 87.00/x
  3. Step 3: Cross multiply
    47.45x = 87.00 × 87.00
  4. Step 4: Simplify right side
    47.45x = 7,568.48
  5. Step 5: Solve for x
    x = 7,568.48/47.45
  6. Step 6: Final answer
    x = 159.49

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Why These Related Problems?

These problems maintain the same ratio (1.83) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.