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Finding the Third Proportional to 757.00 and 1,215.47

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Solution

The third proportional to 757.00 and 1,215.47 is: 1,951.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    757.00 : 1,215.47 = 1,215.47 : x
  2. Step 2: Convert to fraction form
    757.00/1,215.47 = 1,215.47/x
  3. Step 3: Cross multiply
    757.00x = 1,215.47 × 1,215.47
  4. Step 4: Simplify right side
    757.00x = 1,477,378.53
  5. Step 5: Solve for x
    x = 1,477,378.53/757.00
  6. Step 6: Final answer
    x = 1,951.62

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.