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Finding the Third Proportional to 460.25 and 691.25

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Solution

The third proportional to 460.25 and 691.25 is: 1,038.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.25 : 691.25 = 691.25 : x
  2. Step 2: Convert to fraction form
    460.25/691.25 = 691.25/x
  3. Step 3: Cross multiply
    460.25x = 691.25 × 691.25
  4. Step 4: Simplify right side
    460.25x = 477,826.56
  5. Step 5: Solve for x
    x = 477,826.56/460.25
  6. Step 6: Final answer
    x = 1,038.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.