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Finding the Third Proportional to 450.13 and 981.25

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Solution

The third proportional to 450.13 and 981.25 is: 2,139.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    450.13 : 981.25 = 981.25 : x
  2. Step 2: Convert to fraction form
    450.13/981.25 = 981.25/x
  3. Step 3: Cross multiply
    450.13x = 981.25 × 981.25
  4. Step 4: Simplify right side
    450.13x = 962,851.56
  5. Step 5: Solve for x
    x = 962,851.56/450.13
  6. Step 6: Final answer
    x = 2,139.08

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.