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Finding the Third Proportional to 643,721.34 and 1,398,051.56

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Solution

The third proportional to 643,721.34 and 1,398,051.56 is: 3,036,326.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,721.34 : 1,398,051.56 = 1,398,051.56 : x
  2. Step 2: Convert to fraction form
    643,721.34/1,398,051.56 = 1,398,051.56/x
  3. Step 3: Cross multiply
    643,721.34x = 1,398,051.56 × 1,398,051.56
  4. Step 4: Simplify right side
    643,721.34x = 1,954,548,171,408.69
  5. Step 5: Solve for x
    x = 1,954,548,171,408.69/643,721.34
  6. Step 6: Final answer
    x = 3,036,326.49

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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.