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Finding the Third Proportional to 86,042 and 202,433

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Solution

The third proportional to 86,042 and 202,433 is: 476,268.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,042 : 202,433 = 202,433 : x
  2. Step 2: Convert to fraction form
    86,042/202,433 = 202,433/x
  3. Step 3: Cross multiply
    86,042x = 202,433 × 202,433
  4. Step 4: Simplify right side
    86,042x = 40,979,119,489
  5. Step 5: Solve for x
    x = 40,979,119,489/86,042
  6. Step 6: Final answer
    x = 476,268.79

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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.