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Finding the Third Proportional to 409,374 and 888,678

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Solution

The third proportional to 409,374 and 888,678 is: 1,929,161.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,374 : 888,678 = 888,678 : x
  2. Step 2: Convert to fraction form
    409,374/888,678 = 888,678/x
  3. Step 3: Cross multiply
    409,374x = 888,678 × 888,678
  4. Step 4: Simplify right side
    409,374x = 789,748,587,684
  5. Step 5: Solve for x
    x = 789,748,587,684/409,374
  6. Step 6: Final answer
    x = 1,929,161.57

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.