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Finding the Third Proportional to 130,068 and 279,544

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Solution

The third proportional to 130,068 and 279,544 is: 600,799.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,068 : 279,544 = 279,544 : x
  2. Step 2: Convert to fraction form
    130,068/279,544 = 279,544/x
  3. Step 3: Cross multiply
    130,068x = 279,544 × 279,544
  4. Step 4: Simplify right side
    130,068x = 78,144,847,936
  5. Step 5: Solve for x
    x = 78,144,847,936/130,068
  6. Step 6: Final answer
    x = 600,799.95

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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.