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Finding the Third Proportional to 648.88 and 1,407.88

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Solution

The third proportional to 648.88 and 1,407.88 is: 3,054.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.88 : 1,407.88 = 1,407.88 : x
  2. Step 2: Convert to fraction form
    648.88/1,407.88 = 1,407.88/x
  3. Step 3: Cross multiply
    648.88x = 1,407.88 × 1,407.88
  4. Step 4: Simplify right side
    648.88x = 1,982,112.02
  5. Step 5: Solve for x
    x = 1,982,112.02/648.88
  6. Step 6: Final answer
    x = 3,054.69

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.