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Finding the Third Proportional to 86,022 and 202,394.25

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Solution

The third proportional to 86,022 and 202,394.25 is: 476,197.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,022 : 202,394.25 = 202,394.25 : x
  2. Step 2: Convert to fraction form
    86,022/202,394.25 = 202,394.25/x
  3. Step 3: Cross multiply
    86,022x = 202,394.25 × 202,394.25
  4. Step 4: Simplify right side
    86,022x = 40,963,432,433.06
  5. Step 5: Solve for x
    x = 40,963,432,433.06/86,022
  6. Step 6: Final answer
    x = 476,197.16

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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.