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Finding the Third Proportional to 129,968 and 279,276

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Solution

The third proportional to 129,968 and 279,276 is: 600,109.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,968 : 279,276 = 279,276 : x
  2. Step 2: Convert to fraction form
    129,968/279,276 = 279,276/x
  3. Step 3: Cross multiply
    129,968x = 279,276 × 279,276
  4. Step 4: Simplify right side
    129,968x = 77,995,084,176
  5. Step 5: Solve for x
    x = 77,995,084,176/129,968
  6. Step 6: Final answer
    x = 600,109.91

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.