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Finding the Third Proportional to 138,438 and 303,084

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Solution

The third proportional to 138,438 and 303,084 is: 663,545.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,438 : 303,084 = 303,084 : x
  2. Step 2: Convert to fraction form
    138,438/303,084 = 303,084/x
  3. Step 3: Cross multiply
    138,438x = 303,084 × 303,084
  4. Step 4: Simplify right side
    138,438x = 91,859,911,056
  5. Step 5: Solve for x
    x = 91,859,911,056/138,438
  6. Step 6: Final answer
    x = 663,545.49

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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.