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Finding the Third Proportional to 408,465 and 888,919

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Solution

The third proportional to 408,465 and 888,919 is: 1,934,503.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,465 : 888,919 = 888,919 : x
  2. Step 2: Convert to fraction form
    408,465/888,919 = 888,919/x
  3. Step 3: Cross multiply
    408,465x = 888,919 × 888,919
  4. Step 4: Simplify right side
    408,465x = 790,176,988,561
  5. Step 5: Solve for x
    x = 790,176,988,561/408,465
  6. Step 6: Final answer
    x = 1,934,503.54

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.