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Finding the Third Proportional to 138,250 and 303,284

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Solution

The third proportional to 138,250 and 303,284 is: 665,325.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,250 : 303,284 = 303,284 : x
  2. Step 2: Convert to fraction form
    138,250/303,284 = 303,284/x
  3. Step 3: Cross multiply
    138,250x = 303,284 × 303,284
  4. Step 4: Simplify right side
    138,250x = 91,981,184,656
  5. Step 5: Solve for x
    x = 91,981,184,656/138,250
  6. Step 6: Final answer
    x = 665,325.02

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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.