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Finding the Third Proportional to 338,972 and 746,040

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Solution

The third proportional to 338,972 and 746,040 is: 1,641,951.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,972 : 746,040 = 746,040 : x
  2. Step 2: Convert to fraction form
    338,972/746,040 = 746,040/x
  3. Step 3: Cross multiply
    338,972x = 746,040 × 746,040
  4. Step 4: Simplify right side
    338,972x = 556,575,681,600
  5. Step 5: Solve for x
    x = 556,575,681,600/338,972
  6. Step 6: Final answer
    x = 1,641,951.79

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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.