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Finding the Third Proportional to 127,972 and 279,236

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Solution

The third proportional to 127,972 and 279,236 is: 609,295.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,972 : 279,236 = 279,236 : x
  2. Step 2: Convert to fraction form
    127,972/279,236 = 279,236/x
  3. Step 3: Cross multiply
    127,972x = 279,236 × 279,236
  4. Step 4: Simplify right side
    127,972x = 77,972,743,696
  5. Step 5: Solve for x
    x = 77,972,743,696/127,972
  6. Step 6: Final answer
    x = 609,295.34

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.