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Finding the Third Proportional to 631.13 and 1,287.98

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Solution

The third proportional to 631.13 and 1,287.98 is: 2,628.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    631.13 : 1,287.98 = 1,287.98 : x
  2. Step 2: Convert to fraction form
    631.13/1,287.98 = 1,287.98/x
  3. Step 3: Cross multiply
    631.13x = 1,287.98 × 1,287.98
  4. Step 4: Simplify right side
    631.13x = 1,658,903.75
  5. Step 5: Solve for x
    x = 1,658,903.75/631.13
  6. Step 6: Final answer
    x = 2,628.49

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.