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Finding the Third Proportional to 380.25 and 560.81

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Solution

The third proportional to 380.25 and 560.81 is: 827.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.25 : 560.81 = 560.81 : x
  2. Step 2: Convert to fraction form
    380.25/560.81 = 560.81/x
  3. Step 3: Cross multiply
    380.25x = 560.81 × 560.81
  4. Step 4: Simplify right side
    380.25x = 314,510.66
  5. Step 5: Solve for x
    x = 314,510.66/380.25
  6. Step 6: Final answer
    x = 827.12

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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.