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Finding the Third Proportional to 64.76 and 99.04

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Solution

The third proportional to 64.76 and 99.04 is: 151.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.76 : 99.04 = 99.04 : x
  2. Step 2: Convert to fraction form
    64.76/99.04 = 99.04/x
  3. Step 3: Cross multiply
    64.76x = 99.04 × 99.04
  4. Step 4: Simplify right side
    64.76x = 9,807.96
  5. Step 5: Solve for x
    x = 9,807.96/64.76
  6. Step 6: Final answer
    x = 151.46

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.