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Finding the Third Proportional to 7,639.47 and 11,805.20

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Solution

The third proportional to 7,639.47 and 11,805.20 is: 18,242.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,639.47 : 11,805.20 = 11,805.20 : x
  2. Step 2: Convert to fraction form
    7,639.47/11,805.20 = 11,805.20/x
  3. Step 3: Cross multiply
    7,639.47x = 11,805.20 × 11,805.20
  4. Step 4: Simplify right side
    7,639.47x = 139,362,659.42
  5. Step 5: Solve for x
    x = 139,362,659.42/7,639.47
  6. Step 6: Final answer
    x = 18,242.45

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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.