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Finding the Third Proportional to 389.39 and 565.95

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Solution

The third proportional to 389.39 and 565.95 is: 822.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    389.39 : 565.95 = 565.95 : x
  2. Step 2: Convert to fraction form
    389.39/565.95 = 565.95/x
  3. Step 3: Cross multiply
    389.39x = 565.95 × 565.95
  4. Step 4: Simplify right side
    389.39x = 320,294.10
  5. Step 5: Solve for x
    x = 320,294.10/389.39
  6. Step 6: Final answer
    x = 822.55

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.