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Finding the Third Proportional to 815,375 and 1,729,408

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Solution

The third proportional to 815,375 and 1,729,408 is: 3,668,069.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    815,375 : 1,729,408 = 1,729,408 : x
  2. Step 2: Convert to fraction form
    815,375/1,729,408 = 1,729,408/x
  3. Step 3: Cross multiply
    815,375x = 1,729,408 × 1,729,408
  4. Step 4: Simplify right side
    815,375x = 2,990,852,030,464
  5. Step 5: Solve for x
    x = 2,990,852,030,464/815,375
  6. Step 6: Final answer
    x = 3,668,069.33

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.