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Finding the Third Proportional to 86,036 and 202,424

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Solution

The third proportional to 86,036 and 202,424 is: 476,259.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,036 : 202,424 = 202,424 : x
  2. Step 2: Convert to fraction form
    86,036/202,424 = 202,424/x
  3. Step 3: Cross multiply
    86,036x = 202,424 × 202,424
  4. Step 4: Simplify right side
    86,036x = 40,975,475,776
  5. Step 5: Solve for x
    x = 40,975,475,776/86,036
  6. Step 6: Final answer
    x = 476,259.66

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.