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Finding the Third Proportional to 643,721.50 and 1,398,052

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Solution

The third proportional to 643,721.50 and 1,398,052 is: 3,036,327.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,721.50 : 1,398,052 = 1,398,052 : x
  2. Step 2: Convert to fraction form
    643,721.50/1,398,052 = 1,398,052/x
  3. Step 3: Cross multiply
    643,721.50x = 1,398,052 × 1,398,052
  4. Step 4: Simplify right side
    643,721.50x = 1,954,549,394,704
  5. Step 5: Solve for x
    x = 1,954,549,394,704/643,721.50
  6. Step 6: Final answer
    x = 3,036,327.66

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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.