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Finding the Third Proportional to 138,200 and 303,184

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Solution

The third proportional to 138,200 and 303,184 is: 665,126.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,200 : 303,184 = 303,184 : x
  2. Step 2: Convert to fraction form
    138,200/303,184 = 303,184/x
  3. Step 3: Cross multiply
    138,200x = 303,184 × 303,184
  4. Step 4: Simplify right side
    138,200x = 91,920,537,856
  5. Step 5: Solve for x
    x = 91,920,537,856/138,200
  6. Step 6: Final answer
    x = 665,126.90

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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.