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Finding the Third Proportional to 130,050 and 279,500

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Solution

The third proportional to 130,050 and 279,500 is: 600,693.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,050 : 279,500 = 279,500 : x
  2. Step 2: Convert to fraction form
    130,050/279,500 = 279,500/x
  3. Step 3: Cross multiply
    130,050x = 279,500 × 279,500
  4. Step 4: Simplify right side
    130,050x = 78,120,250,000
  5. Step 5: Solve for x
    x = 78,120,250,000/130,050
  6. Step 6: Final answer
    x = 600,693.96

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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.