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Finding the Third Proportional to 60.40 and 99.21

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Solution

The third proportional to 60.40 and 99.21 is: 162.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    60.40 : 99.21 = 99.21 : x
  2. Step 2: Convert to fraction form
    60.40/99.21 = 99.21/x
  3. Step 3: Cross multiply
    60.40x = 99.21 × 99.21
  4. Step 4: Simplify right side
    60.40x = 9,842.81
  5. Step 5: Solve for x
    x = 9,842.81/60.40
  6. Step 6: Final answer
    x = 162.96

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.