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Finding the Third Proportional to 28,169 and 61,243

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Solution

The third proportional to 28,169 and 61,243 is: 133,150.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,169 : 61,243 = 61,243 : x
  2. Step 2: Convert to fraction form
    28,169/61,243 = 61,243/x
  3. Step 3: Cross multiply
    28,169x = 61,243 × 61,243
  4. Step 4: Simplify right side
    28,169x = 3,750,705,049
  5. Step 5: Solve for x
    x = 3,750,705,049/28,169
  6. Step 6: Final answer
    x = 133,150.10

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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.