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Finding the Third Proportional to 397.13 and 819.19

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Solution

The third proportional to 397.13 and 819.19 is: 1,689.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.13 : 819.19 = 819.19 : x
  2. Step 2: Convert to fraction form
    397.13/819.19 = 819.19/x
  3. Step 3: Cross multiply
    397.13x = 819.19 × 819.19
  4. Step 4: Simplify right side
    397.13x = 671,068.16
  5. Step 5: Solve for x
    x = 671,068.16/397.13
  6. Step 6: Final answer
    x = 1,689.82

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.