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Finding the Third Proportional to 202,018 and 439,406

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Solution

The third proportional to 202,018 and 439,406 is: 955,744.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,018 : 439,406 = 439,406 : x
  2. Step 2: Convert to fraction form
    202,018/439,406 = 439,406/x
  3. Step 3: Cross multiply
    202,018x = 439,406 × 439,406
  4. Step 4: Simplify right side
    202,018x = 193,077,632,836
  5. Step 5: Solve for x
    x = 193,077,632,836/202,018
  6. Step 6: Final answer
    x = 955,744.70

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.