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Finding the Third Proportional to 29.90 and 65.02

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Solution

The third proportional to 29.90 and 65.02 is: 141.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    29.90 : 65.02 = 65.02 : x
  2. Step 2: Convert to fraction form
    29.90/65.02 = 65.02/x
  3. Step 3: Cross multiply
    29.90x = 65.02 × 65.02
  4. Step 4: Simplify right side
    29.90x = 4,227.79
  5. Step 5: Solve for x
    x = 4,227.79/29.90
  6. Step 6: Final answer
    x = 141.40

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.