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Finding the Third Proportional to 64.34 and 99.88

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Solution

The third proportional to 64.34 and 99.88 is: 155.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.34 : 99.88 = 99.88 : x
  2. Step 2: Convert to fraction form
    64.34/99.88 = 99.88/x
  3. Step 3: Cross multiply
    64.34x = 99.88 × 99.88
  4. Step 4: Simplify right side
    64.34x = 9,975.80
  5. Step 5: Solve for x
    x = 9,975.80/64.34
  6. Step 6: Final answer
    x = 155.06

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.