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Finding the Third Proportional to 615.45 and 1,317.40

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Solution

The third proportional to 615.45 and 1,317.40 is: 2,819.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    615.45 : 1,317.40 = 1,317.40 : x
  2. Step 2: Convert to fraction form
    615.45/1,317.40 = 1,317.40/x
  3. Step 3: Cross multiply
    615.45x = 1,317.40 × 1,317.40
  4. Step 4: Simplify right side
    615.45x = 1,735,534.78
  5. Step 5: Solve for x
    x = 1,735,534.78/615.45
  6. Step 6: Final answer
    x = 2,819.95

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.