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Finding the Third Proportional to 71,400 and 150,840

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Solution

The third proportional to 71,400 and 150,840 is: 318,665.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,400 : 150,840 = 150,840 : x
  2. Step 2: Convert to fraction form
    71,400/150,840 = 150,840/x
  3. Step 3: Cross multiply
    71,400x = 150,840 × 150,840
  4. Step 4: Simplify right side
    71,400x = 22,752,705,600
  5. Step 5: Solve for x
    x = 22,752,705,600/71,400
  6. Step 6: Final answer
    x = 318,665.34

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.