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Finding the Third Proportional to 6,492.66 and 9,742.78

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Solution

The third proportional to 6,492.66 and 9,742.78 is: 14,619.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,492.66 : 9,742.78 = 9,742.78 : x
  2. Step 2: Convert to fraction form
    6,492.66/9,742.78 = 9,742.78/x
  3. Step 3: Cross multiply
    6,492.66x = 9,742.78 × 9,742.78
  4. Step 4: Simplify right side
    6,492.66x = 94,921,786.49
  5. Step 5: Solve for x
    x = 94,921,786.49/6,492.66
  6. Step 6: Final answer
    x = 14,619.87

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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.