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Finding the Third Proportional to 819,135 and 1,703,643

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Solution

The third proportional to 819,135 and 1,703,643 is: 3,543,249.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    819,135 : 1,703,643 = 1,703,643 : x
  2. Step 2: Convert to fraction form
    819,135/1,703,643 = 1,703,643/x
  3. Step 3: Cross multiply
    819,135x = 1,703,643 × 1,703,643
  4. Step 4: Simplify right side
    819,135x = 2,902,399,471,449
  5. Step 5: Solve for x
    x = 2,902,399,471,449/819,135
  6. Step 6: Final answer
    x = 3,543,249.25

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.