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Finding the Third Proportional to 129,717 and 279,444

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Solution

The third proportional to 129,717 and 279,444 is: 601,994.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,717 : 279,444 = 279,444 : x
  2. Step 2: Convert to fraction form
    129,717/279,444 = 279,444/x
  3. Step 3: Cross multiply
    129,717x = 279,444 × 279,444
  4. Step 4: Simplify right side
    129,717x = 78,088,949,136
  5. Step 5: Solve for x
    x = 78,088,949,136/129,717
  6. Step 6: Final answer
    x = 601,994.72

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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.