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Finding the Third Proportional to 294.13 and 387.19

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Solution

The third proportional to 294.13 and 387.19 is: 509.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.13 : 387.19 = 387.19 : x
  2. Step 2: Convert to fraction form
    294.13/387.19 = 387.19/x
  3. Step 3: Cross multiply
    294.13x = 387.19 × 387.19
  4. Step 4: Simplify right side
    294.13x = 149,914.16
  5. Step 5: Solve for x
    x = 149,914.16/294.13
  6. Step 6: Final answer
    x = 509.70

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.