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Finding the Third Proportional to 138,324 and 303,434

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Solution

The third proportional to 138,324 and 303,434 is: 665,627.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,324 : 303,434 = 303,434 : x
  2. Step 2: Convert to fraction form
    138,324/303,434 = 303,434/x
  3. Step 3: Cross multiply
    138,324x = 303,434 × 303,434
  4. Step 4: Simplify right side
    138,324x = 92,072,192,356
  5. Step 5: Solve for x
    x = 92,072,192,356/138,324
  6. Step 6: Final answer
    x = 665,627.02

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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.