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Finding the Third Proportional to 29.53 and 64.76

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Solution

The third proportional to 29.53 and 64.76 is: 142.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    29.53 : 64.76 = 64.76 : x
  2. Step 2: Convert to fraction form
    29.53/64.76 = 64.76/x
  3. Step 3: Cross multiply
    29.53x = 64.76 × 64.76
  4. Step 4: Simplify right side
    29.53x = 4,193.57
  5. Step 5: Solve for x
    x = 4,193.57/29.53
  6. Step 6: Final answer
    x = 142.00

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.