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Finding the Third Proportional to 28,369 and 61,828

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Solution

The third proportional to 28,369 and 61,828 is: 134,749.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,369 : 61,828 = 61,828 : x
  2. Step 2: Convert to fraction form
    28,369/61,828 = 61,828/x
  3. Step 3: Cross multiply
    28,369x = 61,828 × 61,828
  4. Step 4: Simplify right side
    28,369x = 3,822,701,584
  5. Step 5: Solve for x
    x = 3,822,701,584/28,369
  6. Step 6: Final answer
    x = 134,749.25

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.