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Finding the Third Proportional to 1,731,353 and 3,758,413

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Solution

The third proportional to 1,731,353 and 3,758,413 is: 8,158,745.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,731,353 : 3,758,413 = 3,758,413 : x
  2. Step 2: Convert to fraction form
    1,731,353/3,758,413 = 3,758,413/x
  3. Step 3: Cross multiply
    1,731,353x = 3,758,413 × 3,758,413
  4. Step 4: Simplify right side
    1,731,353x = 14,125,668,278,569
  5. Step 5: Solve for x
    x = 14,125,668,278,569/1,731,353
  6. Step 6: Final answer
    x = 8,158,745.37

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.