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Finding the Third Proportional to 630.12 and 1,244.74

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Solution

The third proportional to 630.12 and 1,244.74 is: 2,458.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    630.12 : 1,244.74 = 1,244.74 : x
  2. Step 2: Convert to fraction form
    630.12/1,244.74 = 1,244.74/x
  3. Step 3: Cross multiply
    630.12x = 1,244.74 × 1,244.74
  4. Step 4: Simplify right side
    630.12x = 1,549,383.11
  5. Step 5: Solve for x
    x = 1,549,383.11/630.12
  6. Step 6: Final answer
    x = 2,458.86

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Why These Related Problems?

These problems maintain the same ratio (1.98) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.