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Finding the Third Proportional to 20,871 and 31,294.50

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Solution

The third proportional to 20,871 and 31,294.50 is: 46,923.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,871 : 31,294.50 = 31,294.50 : x
  2. Step 2: Convert to fraction form
    20,871/31,294.50 = 31,294.50/x
  3. Step 3: Cross multiply
    20,871x = 31,294.50 × 31,294.50
  4. Step 4: Simplify right side
    20,871x = 979,345,730.25
  5. Step 5: Solve for x
    x = 979,345,730.25/20,871
  6. Step 6: Final answer
    x = 46,923.76

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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.