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Finding the Third Proportional to 138,841.50 and 203,000

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Solution

The third proportional to 138,841.50 and 203,000 is: 296,806.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,841.50 : 203,000 = 203,000 : x
  2. Step 2: Convert to fraction form
    138,841.50/203,000 = 203,000/x
  3. Step 3: Cross multiply
    138,841.50x = 203,000 × 203,000
  4. Step 4: Simplify right side
    138,841.50x = 41,209,000,000
  5. Step 5: Solve for x
    x = 41,209,000,000/138,841.50
  6. Step 6: Final answer
    x = 296,806.07

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.