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Finding the Third Proportional to 778,285.13 and 994,471.88

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Solution

The third proportional to 778,285.13 and 994,471.88 is: 1,270,709.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    778,285.13 : 994,471.88 = 994,471.88 : x
  2. Step 2: Convert to fraction form
    778,285.13/994,471.88 = 994,471.88/x
  3. Step 3: Cross multiply
    778,285.13x = 994,471.88 × 994,471.88
  4. Step 4: Simplify right side
    778,285.13x = 988,974,310,166.02
  5. Step 5: Solve for x
    x = 988,974,310,166.02/778,285.13
  6. Step 6: Final answer
    x = 1,270,709.51

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.