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Finding the Third Proportional to 29.95 and 64.34

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Solution

The third proportional to 29.95 and 64.34 is: 138.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    29.95 : 64.34 = 64.34 : x
  2. Step 2: Convert to fraction form
    29.95/64.34 = 64.34/x
  3. Step 3: Cross multiply
    29.95x = 64.34 × 64.34
  4. Step 4: Simplify right side
    29.95x = 4,139.11
  5. Step 5: Solve for x
    x = 4,139.11/29.95
  6. Step 6: Final answer
    x = 138.19

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.