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Finding the Third Proportional to 127,972 and 199,206

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Solution

The third proportional to 127,972 and 199,206 is: 310,091.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,972 : 199,206 = 199,206 : x
  2. Step 2: Convert to fraction form
    127,972/199,206 = 199,206/x
  3. Step 3: Cross multiply
    127,972x = 199,206 × 199,206
  4. Step 4: Simplify right side
    127,972x = 39,683,030,436
  5. Step 5: Solve for x
    x = 39,683,030,436/127,972
  6. Step 6: Final answer
    x = 310,091.51

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.