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Finding the Third Proportional to 1,721,374 and 3,782,458

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Solution

The third proportional to 1,721,374 and 3,782,458 is: 8,311,377.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,721,374 : 3,782,458 = 3,782,458 : x
  2. Step 2: Convert to fraction form
    1,721,374/3,782,458 = 3,782,458/x
  3. Step 3: Cross multiply
    1,721,374x = 3,782,458 × 3,782,458
  4. Step 4: Simplify right side
    1,721,374x = 14,306,988,521,764
  5. Step 5: Solve for x
    x = 14,306,988,521,764/1,721,374
  6. Step 6: Final answer
    x = 8,311,377.15

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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.