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Finding the Third Proportional to 387,250 and 843,395

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Solution

The third proportional to 387,250 and 843,395 is: 1,836,836.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,250 : 843,395 = 843,395 : x
  2. Step 2: Convert to fraction form
    387,250/843,395 = 843,395/x
  3. Step 3: Cross multiply
    387,250x = 843,395 × 843,395
  4. Step 4: Simplify right side
    387,250x = 711,315,126,025
  5. Step 5: Solve for x
    x = 711,315,126,025/387,250
  6. Step 6: Final answer
    x = 1,836,836.99

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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.