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Finding the Third Proportional to 460.25 and 974.75

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Solution

The third proportional to 460.25 and 974.75 is: 2,064.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.25 : 974.75 = 974.75 : x
  2. Step 2: Convert to fraction form
    460.25/974.75 = 974.75/x
  3. Step 3: Cross multiply
    460.25x = 974.75 × 974.75
  4. Step 4: Simplify right side
    460.25x = 950,137.56
  5. Step 5: Solve for x
    x = 950,137.56/460.25
  6. Step 6: Final answer
    x = 2,064.39

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.