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Finding the Third Proportional to 263 and 420.13

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Solution

The third proportional to 263 and 420.13 is: 671.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    263 : 420.13 = 420.13 : x
  2. Step 2: Convert to fraction form
    263/420.13 = 420.13/x
  3. Step 3: Cross multiply
    263x = 420.13 × 420.13
  4. Step 4: Simplify right side
    263x = 176,505.02
  5. Step 5: Solve for x
    x = 176,505.02/263
  6. Step 6: Final answer
    x = 671.12

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.