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Finding the Third Proportional to 7,772 and 18,154

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Solution

The third proportional to 7,772 and 18,154 is: 42,404.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,772 : 18,154 = 18,154 : x
  2. Step 2: Convert to fraction form
    7,772/18,154 = 18,154/x
  3. Step 3: Cross multiply
    7,772x = 18,154 × 18,154
  4. Step 4: Simplify right side
    7,772x = 329,567,716
  5. Step 5: Solve for x
    x = 329,567,716/7,772
  6. Step 6: Final answer
    x = 42,404.49

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.