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Finding the Third Proportional to 79,306 and 127,503

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Solution

The third proportional to 79,306 and 127,503 is: 204,990.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,306 : 127,503 = 127,503 : x
  2. Step 2: Convert to fraction form
    79,306/127,503 = 127,503/x
  3. Step 3: Cross multiply
    79,306x = 127,503 × 127,503
  4. Step 4: Simplify right side
    79,306x = 16,257,015,009
  5. Step 5: Solve for x
    x = 16,257,015,009/79,306
  6. Step 6: Final answer
    x = 204,990.98

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.