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Finding the Third Proportional to 139,170 and 310,214

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Solution

The third proportional to 139,170 and 310,214 is: 691,476.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,170 : 310,214 = 310,214 : x
  2. Step 2: Convert to fraction form
    139,170/310,214 = 310,214/x
  3. Step 3: Cross multiply
    139,170x = 310,214 × 310,214
  4. Step 4: Simplify right side
    139,170x = 96,232,725,796
  5. Step 5: Solve for x
    x = 96,232,725,796/139,170
  6. Step 6: Final answer
    x = 691,476.08

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.