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Finding the Third Proportional to 408,076 and 888,430

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Solution

The third proportional to 408,076 and 888,430 is: 1,934,217.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,076 : 888,430 = 888,430 : x
  2. Step 2: Convert to fraction form
    408,076/888,430 = 888,430/x
  3. Step 3: Cross multiply
    408,076x = 888,430 × 888,430
  4. Step 4: Simplify right side
    408,076x = 789,307,864,900
  5. Step 5: Solve for x
    x = 789,307,864,900/408,076
  6. Step 6: Final answer
    x = 1,934,217.80

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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.