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Finding the Third Proportional to 107,870 and 235,206

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Solution

The third proportional to 107,870 and 235,206 is: 512,856.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,870 : 235,206 = 235,206 : x
  2. Step 2: Convert to fraction form
    107,870/235,206 = 235,206/x
  3. Step 3: Cross multiply
    107,870x = 235,206 × 235,206
  4. Step 4: Simplify right side
    107,870x = 55,321,862,436
  5. Step 5: Solve for x
    x = 55,321,862,436/107,870
  6. Step 6: Final answer
    x = 512,856.79

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.