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Finding the Third Proportional to 138,840.75 and 288,592.88

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Solution

The third proportional to 138,840.75 and 288,592.88 is: 599,866.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,840.75 : 288,592.88 = 288,592.88 : x
  2. Step 2: Convert to fraction form
    138,840.75/288,592.88 = 288,592.88/x
  3. Step 3: Cross multiply
    138,840.75x = 288,592.88 × 288,592.88
  4. Step 4: Simplify right side
    138,840.75x = 83,285,847,500.77
  5. Step 5: Solve for x
    x = 83,285,847,500.77/138,840.75
  6. Step 6: Final answer
    x = 599,866.02

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.