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Finding the Third Proportional to 392,278.50 and 838,108.13

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Solution

The third proportional to 392,278.50 and 838,108.13 is: 1,790,628.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,278.50 : 838,108.13 = 838,108.13 : x
  2. Step 2: Convert to fraction form
    392,278.50/838,108.13 = 838,108.13/x
  3. Step 3: Cross multiply
    392,278.50x = 838,108.13 × 838,108.13
  4. Step 4: Simplify right side
    392,278.50x = 702,425,229,191.02
  5. Step 5: Solve for x
    x = 702,425,229,191.02/392,278.50
  6. Step 6: Final answer
    x = 1,790,628.93

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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.