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Finding the Third Proportional to 406.75 and 647.13

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Solution

The third proportional to 406.75 and 647.13 is: 1,029.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.75 : 647.13 = 647.13 : x
  2. Step 2: Convert to fraction form
    406.75/647.13 = 647.13/x
  3. Step 3: Cross multiply
    406.75x = 647.13 × 647.13
  4. Step 4: Simplify right side
    406.75x = 418,770.77
  5. Step 5: Solve for x
    x = 418,770.77/406.75
  6. Step 6: Final answer
    x = 1,029.55

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.