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Finding the Third Proportional to 6,427.50 and 9,709.88

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Solution

The third proportional to 6,427.50 and 9,709.88 is: 14,668.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,427.50 : 9,709.88 = 9,709.88 : x
  2. Step 2: Convert to fraction form
    6,427.50/9,709.88 = 9,709.88/x
  3. Step 3: Cross multiply
    6,427.50x = 9,709.88 × 9,709.88
  4. Step 4: Simplify right side
    6,427.50x = 94,281,672.52
  5. Step 5: Solve for x
    x = 94,281,672.52/6,427.50
  6. Step 6: Final answer
    x = 14,668.48

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.