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Finding the Third Proportional to 138,319 and 303,422

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Solution

The third proportional to 138,319 and 303,422 is: 665,598.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,319 : 303,422 = 303,422 : x
  2. Step 2: Convert to fraction form
    138,319/303,422 = 303,422/x
  3. Step 3: Cross multiply
    138,319x = 303,422 × 303,422
  4. Step 4: Simplify right side
    138,319x = 92,064,910,084
  5. Step 5: Solve for x
    x = 92,064,910,084/138,319
  6. Step 6: Final answer
    x = 665,598.44

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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.