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Finding the Third Proportional to 138,686 and 304,420

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Solution

The third proportional to 138,686 and 304,420 is: 668,211.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,686 : 304,420 = 304,420 : x
  2. Step 2: Convert to fraction form
    138,686/304,420 = 304,420/x
  3. Step 3: Cross multiply
    138,686x = 304,420 × 304,420
  4. Step 4: Simplify right side
    138,686x = 92,671,536,400
  5. Step 5: Solve for x
    x = 92,671,536,400/138,686
  6. Step 6: Final answer
    x = 668,211.18

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.