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Finding the Third Proportional to 86,025 and 202,424

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Solution

The third proportional to 86,025 and 202,424 is: 476,320.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,025 : 202,424 = 202,424 : x
  2. Step 2: Convert to fraction form
    86,025/202,424 = 202,424/x
  3. Step 3: Cross multiply
    86,025x = 202,424 × 202,424
  4. Step 4: Simplify right side
    86,025x = 40,975,475,776
  5. Step 5: Solve for x
    x = 40,975,475,776/86,025
  6. Step 6: Final answer
    x = 476,320.56

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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.