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Finding the Third Proportional to 342,682 and 742,570

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Solution

The third proportional to 342,682 and 742,570 is: 1,609,101.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,682 : 742,570 = 742,570 : x
  2. Step 2: Convert to fraction form
    342,682/742,570 = 742,570/x
  3. Step 3: Cross multiply
    342,682x = 742,570 × 742,570
  4. Step 4: Simplify right side
    342,682x = 551,410,204,900
  5. Step 5: Solve for x
    x = 551,410,204,900/342,682
  6. Step 6: Final answer
    x = 1,609,101.75

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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.