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Finding the Third Proportional to 138,886 and 210,274

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Solution

The third proportional to 138,886 and 210,274 is: 318,355.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,886 : 210,274 = 210,274 : x
  2. Step 2: Convert to fraction form
    138,886/210,274 = 210,274/x
  3. Step 3: Cross multiply
    138,886x = 210,274 × 210,274
  4. Step 4: Simplify right side
    138,886x = 44,215,155,076
  5. Step 5: Solve for x
    x = 44,215,155,076/138,886
  6. Step 6: Final answer
    x = 318,355.74

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.