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Finding the Third Proportional to 7,688.81 and 11,259.56

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Solution

The third proportional to 7,688.81 and 11,259.56 is: 16,488.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,688.81 : 11,259.56 = 11,259.56 : x
  2. Step 2: Convert to fraction form
    7,688.81/11,259.56 = 11,259.56/x
  3. Step 3: Cross multiply
    7,688.81x = 11,259.56 × 11,259.56
  4. Step 4: Simplify right side
    7,688.81x = 126,777,747.69
  5. Step 5: Solve for x
    x = 126,777,747.69/7,688.81
  6. Step 6: Final answer
    x = 16,488.60

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.