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Finding the Third Proportional to 158.04 and 261.04

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Solution

The third proportional to 158.04 and 261.04 is: 431.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    158.04 : 261.04 = 261.04 : x
  2. Step 2: Convert to fraction form
    158.04/261.04 = 261.04/x
  3. Step 3: Cross multiply
    158.04x = 261.04 × 261.04
  4. Step 4: Simplify right side
    158.04x = 68,139.35
  5. Step 5: Solve for x
    x = 68,139.35/158.04
  6. Step 6: Final answer
    x = 431.14

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.