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Finding the Third Proportional to 387,394 and 843,408

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Solution

The third proportional to 387,394 and 843,408 is: 1,836,210.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,394 : 843,408 = 843,408 : x
  2. Step 2: Convert to fraction form
    387,394/843,408 = 843,408/x
  3. Step 3: Cross multiply
    387,394x = 843,408 × 843,408
  4. Step 4: Simplify right side
    387,394x = 711,337,054,464
  5. Step 5: Solve for x
    x = 711,337,054,464/387,394
  6. Step 6: Final answer
    x = 1,836,210.82

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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.