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Finding the Third Proportional to 615.75 and 1,039.13

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Solution

The third proportional to 615.75 and 1,039.13 is: 1,753.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    615.75 : 1,039.13 = 1,039.13 : x
  2. Step 2: Convert to fraction form
    615.75/1,039.13 = 1,039.13/x
  3. Step 3: Cross multiply
    615.75x = 1,039.13 × 1,039.13
  4. Step 4: Simplify right side
    615.75x = 1,079,780.77
  5. Step 5: Solve for x
    x = 1,079,780.77/615.75
  6. Step 6: Final answer
    x = 1,753.60

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Why These Related Problems?

These problems maintain the same ratio (1.69) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.