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Finding the Third Proportional to 138,902 and 210,290

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Solution

The third proportional to 138,902 and 210,290 is: 318,367.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,902 : 210,290 = 210,290 : x
  2. Step 2: Convert to fraction form
    138,902/210,290 = 210,290/x
  3. Step 3: Cross multiply
    138,902x = 210,290 × 210,290
  4. Step 4: Simplify right side
    138,902x = 44,221,884,100
  5. Step 5: Solve for x
    x = 44,221,884,100/138,902
  6. Step 6: Final answer
    x = 318,367.51

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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.