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Finding the Third Proportional to 815,463 and 1,729,584

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Solution

The third proportional to 815,463 and 1,729,584 is: 3,668,420.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    815,463 : 1,729,584 = 1,729,584 : x
  2. Step 2: Convert to fraction form
    815,463/1,729,584 = 1,729,584/x
  3. Step 3: Cross multiply
    815,463x = 1,729,584 × 1,729,584
  4. Step 4: Simplify right side
    815,463x = 2,991,460,813,056
  5. Step 5: Solve for x
    x = 2,991,460,813,056/815,463
  6. Step 6: Final answer
    x = 3,668,420.04

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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.