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Finding the Third Proportional to 7,811.50 and 16,871

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Solution

The third proportional to 7,811.50 and 16,871 is: 36,437.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,811.50 : 16,871 = 16,871 : x
  2. Step 2: Convert to fraction form
    7,811.50/16,871 = 16,871/x
  3. Step 3: Cross multiply
    7,811.50x = 16,871 × 16,871
  4. Step 4: Simplify right side
    7,811.50x = 284,630,641
  5. Step 5: Solve for x
    x = 284,630,641/7,811.50
  6. Step 6: Final answer
    x = 36,437.39

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.