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Finding the Third Proportional to 392,377.50 and 840,803.75

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Solution

The third proportional to 392,377.50 and 840,803.75 is: 1,801,711.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,377.50 : 840,803.75 = 840,803.75 : x
  2. Step 2: Convert to fraction form
    392,377.50/840,803.75 = 840,803.75/x
  3. Step 3: Cross multiply
    392,377.50x = 840,803.75 × 840,803.75
  4. Step 4: Simplify right side
    392,377.50x = 706,950,946,014.06
  5. Step 5: Solve for x
    x = 706,950,946,014.06/392,377.50
  6. Step 6: Final answer
    x = 1,801,711.22

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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.