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Finding the Third Proportional to 690,784 and 1,486,544

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Solution

The third proportional to 690,784 and 1,486,544 is: 3,198,992.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    690,784 : 1,486,544 = 1,486,544 : x
  2. Step 2: Convert to fraction form
    690,784/1,486,544 = 1,486,544/x
  3. Step 3: Cross multiply
    690,784x = 1,486,544 × 1,486,544
  4. Step 4: Simplify right side
    690,784x = 2,209,813,063,936
  5. Step 5: Solve for x
    x = 2,209,813,063,936/690,784
  6. Step 6: Final answer
    x = 3,198,992.83

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.