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Finding the Third Proportional to 86,421 and 183,114

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Solution

The third proportional to 86,421 and 183,114 is: 387,992.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,421 : 183,114 = 183,114 : x
  2. Step 2: Convert to fraction form
    86,421/183,114 = 183,114/x
  3. Step 3: Cross multiply
    86,421x = 183,114 × 183,114
  4. Step 4: Simplify right side
    86,421x = 33,530,736,996
  5. Step 5: Solve for x
    x = 33,530,736,996/86,421
  6. Step 6: Final answer
    x = 387,992.93

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.