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Finding the Third Proportional to 161,869 and 378,071

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Solution

The third proportional to 161,869 and 378,071 is: 883,045.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,869 : 378,071 = 378,071 : x
  2. Step 2: Convert to fraction form
    161,869/378,071 = 378,071/x
  3. Step 3: Cross multiply
    161,869x = 378,071 × 378,071
  4. Step 4: Simplify right side
    161,869x = 142,937,681,041
  5. Step 5: Solve for x
    x = 142,937,681,041/161,869
  6. Step 6: Final answer
    x = 883,045.43

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.