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Finding the Third Proportional to 840,864 and 1,260,063

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Solution

The third proportional to 840,864 and 1,260,063 is: 1,888,246.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    840,864 : 1,260,063 = 1,260,063 : x
  2. Step 2: Convert to fraction form
    840,864/1,260,063 = 1,260,063/x
  3. Step 3: Cross multiply
    840,864x = 1,260,063 × 1,260,063
  4. Step 4: Simplify right side
    840,864x = 1,587,758,763,969
  5. Step 5: Solve for x
    x = 1,587,758,763,969/840,864
  6. Step 6: Final answer
    x = 1,888,246.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.