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Finding the Third Proportional to 718.56 and 1,512.11

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Solution

The third proportional to 718.56 and 1,512.11 is: 3,182.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    718.56 : 1,512.11 = 1,512.11 : x
  2. Step 2: Convert to fraction form
    718.56/1,512.11 = 1,512.11/x
  3. Step 3: Cross multiply
    718.56x = 1,512.11 × 1,512.11
  4. Step 4: Simplify right side
    718.56x = 2,286,462.95
  5. Step 5: Solve for x
    x = 2,286,462.95/718.56
  6. Step 6: Final answer
    x = 3,182.01

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.