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Finding the Third Proportional to 381.59 and 560.99

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Solution

The third proportional to 381.59 and 560.99 is: 824.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.59 : 560.99 = 560.99 : x
  2. Step 2: Convert to fraction form
    381.59/560.99 = 560.99/x
  3. Step 3: Cross multiply
    381.59x = 560.99 × 560.99
  4. Step 4: Simplify right side
    381.59x = 314,707.85
  5. Step 5: Solve for x
    x = 314,707.85/381.59
  6. Step 6: Final answer
    x = 824.74

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.