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Finding the Third Proportional to 690,147.75 and 1,413,762

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Solution

The third proportional to 690,147.75 and 1,413,762 is: 2,896,079.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    690,147.75 : 1,413,762 = 1,413,762 : x
  2. Step 2: Convert to fraction form
    690,147.75/1,413,762 = 1,413,762/x
  3. Step 3: Cross multiply
    690,147.75x = 1,413,762 × 1,413,762
  4. Step 4: Simplify right side
    690,147.75x = 1,998,722,992,644
  5. Step 5: Solve for x
    x = 1,998,722,992,644/690,147.75
  6. Step 6: Final answer
    x = 2,896,079.85

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.