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Finding the Third Proportional to 138,278 and 298,700

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Solution

The third proportional to 138,278 and 298,700 is: 645,234.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,278 : 298,700 = 298,700 : x
  2. Step 2: Convert to fraction form
    138,278/298,700 = 298,700/x
  3. Step 3: Cross multiply
    138,278x = 298,700 × 298,700
  4. Step 4: Simplify right side
    138,278x = 89,221,690,000
  5. Step 5: Solve for x
    x = 89,221,690,000/138,278
  6. Step 6: Final answer
    x = 645,234.17

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.