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Finding the Third Proportional to 74.04 and 130.99

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Solution

The third proportional to 74.04 and 130.99 is: 231.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.04 : 130.99 = 130.99 : x
  2. Step 2: Convert to fraction form
    74.04/130.99 = 130.99/x
  3. Step 3: Cross multiply
    74.04x = 130.99 × 130.99
  4. Step 4: Simplify right side
    74.04x = 17,158.95
  5. Step 5: Solve for x
    x = 17,158.95/74.04
  6. Step 6: Final answer
    x = 231.76

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Why These Related Problems?

These problems maintain the same ratio (1.77) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.