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Finding the Third Proportional to 86,699 and 186,331

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Solution

The third proportional to 86,699 and 186,331 is: 400,457.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,699 : 186,331 = 186,331 : x
  2. Step 2: Convert to fraction form
    86,699/186,331 = 186,331/x
  3. Step 3: Cross multiply
    86,699x = 186,331 × 186,331
  4. Step 4: Simplify right side
    86,699x = 34,719,241,561
  5. Step 5: Solve for x
    x = 34,719,241,561/86,699
  6. Step 6: Final answer
    x = 400,457.23

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.