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Finding the Third Proportional to 840,800 and 1,269,948

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Solution

The third proportional to 840,800 and 1,269,948 is: 1,918,135.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    840,800 : 1,269,948 = 1,269,948 : x
  2. Step 2: Convert to fraction form
    840,800/1,269,948 = 1,269,948/x
  3. Step 3: Cross multiply
    840,800x = 1,269,948 × 1,269,948
  4. Step 4: Simplify right side
    840,800x = 1,612,767,922,704
  5. Step 5: Solve for x
    x = 1,612,767,922,704/840,800
  6. Step 6: Final answer
    x = 1,918,135.02

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.