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Finding the Third Proportional to 189,938 and 401,332

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Solution

The third proportional to 189,938 and 401,332 is: 847,999.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,938 : 401,332 = 401,332 : x
  2. Step 2: Convert to fraction form
    189,938/401,332 = 401,332/x
  3. Step 3: Cross multiply
    189,938x = 401,332 × 401,332
  4. Step 4: Simplify right side
    189,938x = 161,067,374,224
  5. Step 5: Solve for x
    x = 161,067,374,224/189,938
  6. Step 6: Final answer
    x = 847,999.74

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.