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Finding the Third Proportional to 742,641 and 1,115,604

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Solution

The third proportional to 742,641 and 1,115,604 is: 1,675,873.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    742,641 : 1,115,604 = 1,115,604 : x
  2. Step 2: Convert to fraction form
    742,641/1,115,604 = 1,115,604/x
  3. Step 3: Cross multiply
    742,641x = 1,115,604 × 1,115,604
  4. Step 4: Simplify right side
    742,641x = 1,244,572,284,816
  5. Step 5: Solve for x
    x = 1,244,572,284,816/742,641
  6. Step 6: Final answer
    x = 1,675,873.38

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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.