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Finding the Third Proportional to 742,637 and 1,115,589

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Solution

The third proportional to 742,637 and 1,115,589 is: 1,675,837.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    742,637 : 1,115,589 = 1,115,589 : x
  2. Step 2: Convert to fraction form
    742,637/1,115,589 = 1,115,589/x
  3. Step 3: Cross multiply
    742,637x = 1,115,589 × 1,115,589
  4. Step 4: Simplify right side
    742,637x = 1,244,538,816,921
  5. Step 5: Solve for x
    x = 1,244,538,816,921/742,637
  6. Step 6: Final answer
    x = 1,675,837.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.