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Finding the Third Proportional to 139,411 and 216,173

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Solution

The third proportional to 139,411 and 216,173 is: 335,201.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,411 : 216,173 = 216,173 : x
  2. Step 2: Convert to fraction form
    139,411/216,173 = 216,173/x
  3. Step 3: Cross multiply
    139,411x = 216,173 × 216,173
  4. Step 4: Simplify right side
    139,411x = 46,730,765,929
  5. Step 5: Solve for x
    x = 46,730,765,929/139,411
  6. Step 6: Final answer
    x = 335,201.43

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.