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Finding the Third Proportional to 321,417.56 and 691,207.31

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Solution

The third proportional to 321,417.56 and 691,207.31 is: 1,486,438.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,417.56 : 691,207.31 = 691,207.31 : x
  2. Step 2: Convert to fraction form
    321,417.56/691,207.31 = 691,207.31/x
  3. Step 3: Cross multiply
    321,417.56x = 691,207.31 × 691,207.31
  4. Step 4: Simplify right side
    321,417.56x = 477,767,548,853.47
  5. Step 5: Solve for x
    x = 477,767,548,853.47/321,417.56
  6. Step 6: Final answer
    x = 1,486,438.84

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.