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Finding the Third Proportional to 342,554 and 722,038

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Solution

The third proportional to 342,554 and 722,038 is: 1,521,917.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,554 : 722,038 = 722,038 : x
  2. Step 2: Convert to fraction form
    342,554/722,038 = 722,038/x
  3. Step 3: Cross multiply
    342,554x = 722,038 × 722,038
  4. Step 4: Simplify right side
    342,554x = 521,338,873,444
  5. Step 5: Solve for x
    x = 521,338,873,444/342,554
  6. Step 6: Final answer
    x = 1,521,917.34

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.