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Finding the Third Proportional to 4,459.43 and 9,389.67

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Solution

The third proportional to 4,459.43 and 9,389.67 is: 19,770.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,459.43 : 9,389.67 = 9,389.67 : x
  2. Step 2: Convert to fraction form
    4,459.43/9,389.67 = 9,389.67/x
  3. Step 3: Cross multiply
    4,459.43x = 9,389.67 × 9,389.67
  4. Step 4: Simplify right side
    4,459.43x = 88,165,937.92
  5. Step 5: Solve for x
    x = 88,165,937.92/4,459.43
  6. Step 6: Final answer
    x = 19,770.68

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.