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Finding the Third Proportional to 86,289 and 188,724

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Solution

The third proportional to 86,289 and 188,724 is: 412,761.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,289 : 188,724 = 188,724 : x
  2. Step 2: Convert to fraction form
    86,289/188,724 = 188,724/x
  3. Step 3: Cross multiply
    86,289x = 188,724 × 188,724
  4. Step 4: Simplify right side
    86,289x = 35,616,748,176
  5. Step 5: Solve for x
    x = 35,616,748,176/86,289
  6. Step 6: Final answer
    x = 412,761.17

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.