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Finding the Third Proportional to 138,530.46 and 299,163.80

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Solution

The third proportional to 138,530.46 and 299,163.80 is: 646,059.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,530.46 : 299,163.80 = 299,163.80 : x
  2. Step 2: Convert to fraction form
    138,530.46/299,163.80 = 299,163.80/x
  3. Step 3: Cross multiply
    138,530.46x = 299,163.80 × 299,163.80
  4. Step 4: Simplify right side
    138,530.46x = 89,498,977,360.67
  5. Step 5: Solve for x
    x = 89,498,977,360.67/138,530.46
  6. Step 6: Final answer
    x = 646,059.91

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.