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Finding the Third Proportional to 7,641.56 and 18,009.56

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Solution

The third proportional to 7,641.56 and 18,009.56 is: 42,444.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,641.56 : 18,009.56 = 18,009.56 : x
  2. Step 2: Convert to fraction form
    7,641.56/18,009.56 = 18,009.56/x
  3. Step 3: Cross multiply
    7,641.56x = 18,009.56 × 18,009.56
  4. Step 4: Simplify right side
    7,641.56x = 324,344,341.44
  5. Step 5: Solve for x
    x = 324,344,341.44/7,641.56
  6. Step 6: Final answer
    x = 42,444.77

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.