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Finding the Third Proportional to 80,270 and 127,209

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Solution

The third proportional to 80,270 and 127,209 is: 201,596.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,270 : 127,209 = 127,209 : x
  2. Step 2: Convert to fraction form
    80,270/127,209 = 127,209/x
  3. Step 3: Cross multiply
    80,270x = 127,209 × 127,209
  4. Step 4: Simplify right side
    80,270x = 16,182,129,681
  5. Step 5: Solve for x
    x = 16,182,129,681/80,270
  6. Step 6: Final answer
    x = 201,596.23

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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.