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Finding the Third Proportional to 138,905 and 210,295

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Solution

The third proportional to 138,905 and 210,295 is: 318,375.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,905 : 210,295 = 210,295 : x
  2. Step 2: Convert to fraction form
    138,905/210,295 = 210,295/x
  3. Step 3: Cross multiply
    138,905x = 210,295 × 210,295
  4. Step 4: Simplify right side
    138,905x = 44,223,987,025
  5. Step 5: Solve for x
    x = 44,223,987,025/138,905
  6. Step 6: Final answer
    x = 318,375.77

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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.