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Finding the Third Proportional to 271,420 and 410,100

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Solution

The third proportional to 271,420 and 410,100 is: 619,637.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,420 : 410,100 = 410,100 : x
  2. Step 2: Convert to fraction form
    271,420/410,100 = 410,100/x
  3. Step 3: Cross multiply
    271,420x = 410,100 × 410,100
  4. Step 4: Simplify right side
    271,420x = 168,182,010,000
  5. Step 5: Solve for x
    x = 168,182,010,000/271,420
  6. Step 6: Final answer
    x = 619,637.50

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.