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Finding the Third Proportional to 7,709.55 and 16,740.42

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Solution

The third proportional to 7,709.55 and 16,740.42 is: 36,349.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,709.55 : 16,740.42 = 16,740.42 : x
  2. Step 2: Convert to fraction form
    7,709.55/16,740.42 = 16,740.42/x
  3. Step 3: Cross multiply
    7,709.55x = 16,740.42 × 16,740.42
  4. Step 4: Simplify right side
    7,709.55x = 280,241,724.55
  5. Step 5: Solve for x
    x = 280,241,724.55/7,709.55
  6. Step 6: Final answer
    x = 36,349.92

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.