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Finding the Third Proportional to 630.49 and 1,321.73

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Solution

The third proportional to 630.49 and 1,321.73 is: 2,770.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    630.49 : 1,321.73 = 1,321.73 : x
  2. Step 2: Convert to fraction form
    630.49/1,321.73 = 1,321.73/x
  3. Step 3: Cross multiply
    630.49x = 1,321.73 × 1,321.73
  4. Step 4: Simplify right side
    630.49x = 1,746,981.76
  5. Step 5: Solve for x
    x = 1,746,981.76/630.49
  6. Step 6: Final answer
    x = 2,770.82

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.