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Finding the Third Proportional to 392,262.75 and 838,076.63

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Solution

The third proportional to 392,262.75 and 838,076.63 is: 1,790,566.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,262.75 : 838,076.63 = 838,076.63 : x
  2. Step 2: Convert to fraction form
    392,262.75/838,076.63 = 838,076.63/x
  3. Step 3: Cross multiply
    392,262.75x = 838,076.63 × 838,076.63
  4. Step 4: Simplify right side
    392,262.75x = 702,372,429,371.39
  5. Step 5: Solve for x
    x = 702,372,429,371.39/392,262.75
  6. Step 6: Final answer
    x = 1,790,566.22

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.