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Finding the Third Proportional to 7,642.50 and 11,829

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Solution

The third proportional to 7,642.50 and 11,829 is: 18,308.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,642.50 : 11,829 = 11,829 : x
  2. Step 2: Convert to fraction form
    7,642.50/11,829 = 11,829/x
  3. Step 3: Cross multiply
    7,642.50x = 11,829 × 11,829
  4. Step 4: Simplify right side
    7,642.50x = 139,925,241
  5. Step 5: Solve for x
    x = 139,925,241/7,642.50
  6. Step 6: Final answer
    x = 18,308.83

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.