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Finding the Third Proportional to 5,238,427 and 7,825,379

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Solution

The third proportional to 5,238,427 and 7,825,379 is: 11,689,874.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,238,427 : 7,825,379 = 7,825,379 : x
  2. Step 2: Convert to fraction form
    5,238,427/7,825,379 = 7,825,379/x
  3. Step 3: Cross multiply
    5,238,427x = 7,825,379 × 7,825,379
  4. Step 4: Simplify right side
    5,238,427x = 61,236,556,493,641
  5. Step 5: Solve for x
    x = 61,236,556,493,641/5,238,427
  6. Step 6: Final answer
    x = 11,689,874.94

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.