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Finding the Third Proportional to 138,524 and 303,323

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Solution

The third proportional to 138,524 and 303,323 is: 664,179.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,524 : 303,323 = 303,323 : x
  2. Step 2: Convert to fraction form
    138,524/303,323 = 303,323/x
  3. Step 3: Cross multiply
    138,524x = 303,323 × 303,323
  4. Step 4: Simplify right side
    138,524x = 92,004,842,329
  5. Step 5: Solve for x
    x = 92,004,842,329/138,524
  6. Step 6: Final answer
    x = 664,179.80

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.