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Finding the Third Proportional to 690,438 and 1,476,816

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Solution

The third proportional to 690,438 and 1,476,816 is: 3,158,843.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    690,438 : 1,476,816 = 1,476,816 : x
  2. Step 2: Convert to fraction form
    690,438/1,476,816 = 1,476,816/x
  3. Step 3: Cross multiply
    690,438x = 1,476,816 × 1,476,816
  4. Step 4: Simplify right side
    690,438x = 2,180,985,497,856
  5. Step 5: Solve for x
    x = 2,180,985,497,856/690,438
  6. Step 6: Final answer
    x = 3,158,843.37

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.