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Finding the Third Proportional to 402.88 and 929.13

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Solution

The third proportional to 402.88 and 929.13 is: 2,142.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.88 : 929.13 = 929.13 : x
  2. Step 2: Convert to fraction form
    402.88/929.13 = 929.13/x
  3. Step 3: Cross multiply
    402.88x = 929.13 × 929.13
  4. Step 4: Simplify right side
    402.88x = 863,273.27
  5. Step 5: Solve for x
    x = 863,273.27/402.88
  6. Step 6: Final answer
    x = 2,142.78

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.