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Finding the Third Proportional to 342,686 and 742,578

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Solution

The third proportional to 342,686 and 742,578 is: 1,609,117.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,686 : 742,578 = 742,578 : x
  2. Step 2: Convert to fraction form
    342,686/742,578 = 742,578/x
  3. Step 3: Cross multiply
    342,686x = 742,578 × 742,578
  4. Step 4: Simplify right side
    342,686x = 551,422,086,084
  5. Step 5: Solve for x
    x = 551,422,086,084/342,686
  6. Step 6: Final answer
    x = 1,609,117.64

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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.