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Finding the Third Proportional to 342,675 and 742,555

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Solution

The third proportional to 342,675 and 742,555 is: 1,609,069.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,675 : 742,555 = 742,555 : x
  2. Step 2: Convert to fraction form
    342,675/742,555 = 742,555/x
  3. Step 3: Cross multiply
    342,675x = 742,555 × 742,555
  4. Step 4: Simplify right side
    342,675x = 551,387,928,025
  5. Step 5: Solve for x
    x = 551,387,928,025/342,675
  6. Step 6: Final answer
    x = 1,609,069.61

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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.