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Finding the Third Proportional to 723,828 and 1,590,418

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Solution

The third proportional to 723,828 and 1,590,418 is: 3,494,517.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    723,828 : 1,590,418 = 1,590,418 : x
  2. Step 2: Convert to fraction form
    723,828/1,590,418 = 1,590,418/x
  3. Step 3: Cross multiply
    723,828x = 1,590,418 × 1,590,418
  4. Step 4: Simplify right side
    723,828x = 2,529,429,414,724
  5. Step 5: Solve for x
    x = 2,529,429,414,724/723,828
  6. Step 6: Final answer
    x = 3,494,517.23

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.