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Finding the Third Proportional to 819.40 and 1,298.14

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Solution

The third proportional to 819.40 and 1,298.14 is: 2,056.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    819.40 : 1,298.14 = 1,298.14 : x
  2. Step 2: Convert to fraction form
    819.40/1,298.14 = 1,298.14/x
  3. Step 3: Cross multiply
    819.40x = 1,298.14 × 1,298.14
  4. Step 4: Simplify right side
    819.40x = 1,685,156.41
  5. Step 5: Solve for x
    x = 1,685,156.41/819.40
  6. Step 6: Final answer
    x = 2,056.56

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.