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Finding the Third Proportional to 6,246.10 and 13,350.76

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Solution

The third proportional to 6,246.10 and 13,350.76 is: 28,536.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,246.10 : 13,350.76 = 13,350.76 : x
  2. Step 2: Convert to fraction form
    6,246.10/13,350.76 = 13,350.76/x
  3. Step 3: Cross multiply
    6,246.10x = 13,350.76 × 13,350.76
  4. Step 4: Simplify right side
    6,246.10x = 178,242,838.47
  5. Step 5: Solve for x
    x = 178,242,838.47/6,246.10
  6. Step 6: Final answer
    x = 28,536.68

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.