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Finding the Third Proportional to 121,914 and 182,871

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Solution

The third proportional to 121,914 and 182,871 is: 274,306.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,914 : 182,871 = 182,871 : x
  2. Step 2: Convert to fraction form
    121,914/182,871 = 182,871/x
  3. Step 3: Cross multiply
    121,914x = 182,871 × 182,871
  4. Step 4: Simplify right side
    121,914x = 33,441,802,641
  5. Step 5: Solve for x
    x = 33,441,802,641/121,914
  6. Step 6: Final answer
    x = 274,306.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.