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Finding the Third Proportional to 261.27 and 346.70

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Solution

The third proportional to 261.27 and 346.70 is: 460.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.27 : 346.70 = 346.70 : x
  2. Step 2: Convert to fraction form
    261.27/346.70 = 346.70/x
  3. Step 3: Cross multiply
    261.27x = 346.70 × 346.70
  4. Step 4: Simplify right side
    261.27x = 120,202.38
  5. Step 5: Solve for x
    x = 120,202.38/261.27
  6. Step 6: Final answer
    x = 460.07

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.