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Finding the Third Proportional to 98.72 and 159.47

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Solution

The third proportional to 98.72 and 159.47 is: 257.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.72 : 159.47 = 159.47 : x
  2. Step 2: Convert to fraction form
    98.72/159.47 = 159.47/x
  3. Step 3: Cross multiply
    98.72x = 159.47 × 159.47
  4. Step 4: Simplify right side
    98.72x = 25,430.28
  5. Step 5: Solve for x
    x = 25,430.28/98.72
  6. Step 6: Final answer
    x = 257.60

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.