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Finding the Third Proportional to 450.40 and 974.85

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Solution

The third proportional to 450.40 and 974.85 is: 2,109.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    450.40 : 974.85 = 974.85 : x
  2. Step 2: Convert to fraction form
    450.40/974.85 = 974.85/x
  3. Step 3: Cross multiply
    450.40x = 974.85 × 974.85
  4. Step 4: Simplify right side
    450.40x = 950,327.95
  5. Step 5: Solve for x
    x = 950,327.95/450.40
  6. Step 6: Final answer
    x = 2,109.94

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.