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Finding the Third Proportional to 7,861.50 and 17,127

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Solution

The third proportional to 7,861.50 and 17,127 is: 37,312.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,861.50 : 17,127 = 17,127 : x
  2. Step 2: Convert to fraction form
    7,861.50/17,127 = 17,127/x
  3. Step 3: Cross multiply
    7,861.50x = 17,127 × 17,127
  4. Step 4: Simplify right side
    7,861.50x = 293,334,129
  5. Step 5: Solve for x
    x = 293,334,129/7,861.50
  6. Step 6: Final answer
    x = 37,312.74

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.