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Finding the Third Proportional to 643,284 and 1,398,617

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Solution

The third proportional to 643,284 and 1,398,617 is: 3,040,849.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,284 : 1,398,617 = 1,398,617 : x
  2. Step 2: Convert to fraction form
    643,284/1,398,617 = 1,398,617/x
  3. Step 3: Cross multiply
    643,284x = 1,398,617 × 1,398,617
  4. Step 4: Simplify right side
    643,284x = 1,956,129,512,689
  5. Step 5: Solve for x
    x = 1,956,129,512,689/643,284
  6. Step 6: Final answer
    x = 3,040,849.01

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.