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Finding the Third Proportional to 840,212 and 1,843,708

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Solution

The third proportional to 840,212 and 1,843,708 is: 4,045,716.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    840,212 : 1,843,708 = 1,843,708 : x
  2. Step 2: Convert to fraction form
    840,212/1,843,708 = 1,843,708/x
  3. Step 3: Cross multiply
    840,212x = 1,843,708 × 1,843,708
  4. Step 4: Simplify right side
    840,212x = 3,399,259,189,264
  5. Step 5: Solve for x
    x = 3,399,259,189,264/840,212
  6. Step 6: Final answer
    x = 4,045,716.07

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.