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Finding the Third Proportional to 387,376 and 843,344

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Solution

The third proportional to 387,376 and 843,344 is: 1,836,017.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,376 : 843,344 = 843,344 : x
  2. Step 2: Convert to fraction form
    387,376/843,344 = 843,344/x
  3. Step 3: Cross multiply
    387,376x = 843,344 × 843,344
  4. Step 4: Simplify right side
    387,376x = 711,229,102,336
  5. Step 5: Solve for x
    x = 711,229,102,336/387,376
  6. Step 6: Final answer
    x = 1,836,017.47

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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.