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Finding the Third Proportional to 63,209 and 136,381

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Solution

The third proportional to 63,209 and 136,381 is: 294,258.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,209 : 136,381 = 136,381 : x
  2. Step 2: Convert to fraction form
    63,209/136,381 = 136,381/x
  3. Step 3: Cross multiply
    63,209x = 136,381 × 136,381
  4. Step 4: Simplify right side
    63,209x = 18,599,777,161
  5. Step 5: Solve for x
    x = 18,599,777,161/63,209
  6. Step 6: Final answer
    x = 294,258.37

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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.