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Finding the Third Proportional to 86,924 and 143,828

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Solution

The third proportional to 86,924 and 143,828 is: 237,983.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,924 : 143,828 = 143,828 : x
  2. Step 2: Convert to fraction form
    86,924/143,828 = 143,828/x
  3. Step 3: Cross multiply
    86,924x = 143,828 × 143,828
  4. Step 4: Simplify right side
    86,924x = 20,686,493,584
  5. Step 5: Solve for x
    x = 20,686,493,584/86,924
  6. Step 6: Final answer
    x = 237,983.68

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.