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Finding the Third Proportional to 29.93 and 64.64

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Solution

The third proportional to 29.93 and 64.64 is: 139.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    29.93 : 64.64 = 64.64 : x
  2. Step 2: Convert to fraction form
    29.93/64.64 = 64.64/x
  3. Step 3: Cross multiply
    29.93x = 64.64 × 64.64
  4. Step 4: Simplify right side
    29.93x = 4,177.79
  5. Step 5: Solve for x
    x = 4,177.79/29.93
  6. Step 6: Final answer
    x = 139.59

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.