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Finding the Third Proportional to 321,154.88 and 691,638.75

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Solution

The third proportional to 321,154.88 and 691,638.75 is: 1,489,512.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,154.88 : 691,638.75 = 691,638.75 : x
  2. Step 2: Convert to fraction form
    321,154.88/691,638.75 = 691,638.75/x
  3. Step 3: Cross multiply
    321,154.88x = 691,638.75 × 691,638.75
  4. Step 4: Simplify right side
    321,154.88x = 478,364,160,501.56
  5. Step 5: Solve for x
    x = 478,364,160,501.56/321,154.88
  6. Step 6: Final answer
    x = 1,489,512.37

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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.