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Finding the Third Proportional to 138,990 and 271,068

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Solution

The third proportional to 138,990 and 271,068 is: 528,655.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,990 : 271,068 = 271,068 : x
  2. Step 2: Convert to fraction form
    138,990/271,068 = 271,068/x
  3. Step 3: Cross multiply
    138,990x = 271,068 × 271,068
  4. Step 4: Simplify right side
    138,990x = 73,477,860,624
  5. Step 5: Solve for x
    x = 73,477,860,624/138,990
  6. Step 6: Final answer
    x = 528,655.74

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.