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Finding the Third Proportional to 130,815 and 279,126

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Solution

The third proportional to 130,815 and 279,126 is: 595,584.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,815 : 279,126 = 279,126 : x
  2. Step 2: Convert to fraction form
    130,815/279,126 = 279,126/x
  3. Step 3: Cross multiply
    130,815x = 279,126 × 279,126
  4. Step 4: Simplify right side
    130,815x = 77,911,323,876
  5. Step 5: Solve for x
    x = 77,911,323,876/130,815
  6. Step 6: Final answer
    x = 595,584.02

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.