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Finding the Third Proportional to 342,576 and 486,918

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Solution

The third proportional to 342,576 and 486,918 is: 692,077.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,576 : 486,918 = 486,918 : x
  2. Step 2: Convert to fraction form
    342,576/486,918 = 486,918/x
  3. Step 3: Cross multiply
    342,576x = 486,918 × 486,918
  4. Step 4: Simplify right side
    342,576x = 237,089,138,724
  5. Step 5: Solve for x
    x = 237,089,138,724/342,576
  6. Step 6: Final answer
    x = 692,077.49

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.