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Finding the Third Proportional to 80,219 and 127,133

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Solution

The third proportional to 80,219 and 127,133 is: 201,483.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,219 : 127,133 = 127,133 : x
  2. Step 2: Convert to fraction form
    80,219/127,133 = 127,133/x
  3. Step 3: Cross multiply
    80,219x = 127,133 × 127,133
  4. Step 4: Simplify right side
    80,219x = 16,162,799,689
  5. Step 5: Solve for x
    x = 16,162,799,689/80,219
  6. Step 6: Final answer
    x = 201,483.44

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.