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Finding the Third Proportional to 318,034.50 and 691,282.50

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Solution

The third proportional to 318,034.50 and 691,282.50 is: 1,502,577.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,034.50 : 691,282.50 = 691,282.50 : x
  2. Step 2: Convert to fraction form
    318,034.50/691,282.50 = 691,282.50/x
  3. Step 3: Cross multiply
    318,034.50x = 691,282.50 × 691,282.50
  4. Step 4: Simplify right side
    318,034.50x = 477,871,494,806.25
  5. Step 5: Solve for x
    x = 477,871,494,806.25/318,034.50
  6. Step 6: Final answer
    x = 1,502,577.53

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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.