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Finding the Third Proportional to 634,387 and 1,428,467

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Solution

The third proportional to 634,387 and 1,428,467 is: 3,216,519.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    634,387 : 1,428,467 = 1,428,467 : x
  2. Step 2: Convert to fraction form
    634,387/1,428,467 = 1,428,467/x
  3. Step 3: Cross multiply
    634,387x = 1,428,467 × 1,428,467
  4. Step 4: Simplify right side
    634,387x = 2,040,517,970,089
  5. Step 5: Solve for x
    x = 2,040,517,970,089/634,387
  6. Step 6: Final answer
    x = 3,216,519.21

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Why These Related Problems?

These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.