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Finding the Third Proportional to 139,871 and 221,817

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Solution

The third proportional to 139,871 and 221,817 is: 351,772.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,871 : 221,817 = 221,817 : x
  2. Step 2: Convert to fraction form
    139,871/221,817 = 221,817/x
  3. Step 3: Cross multiply
    139,871x = 221,817 × 221,817
  4. Step 4: Simplify right side
    139,871x = 49,202,781,489
  5. Step 5: Solve for x
    x = 49,202,781,489/139,871
  6. Step 6: Final answer
    x = 351,772.57

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.