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Finding the Third Proportional to 202,119 and 428,883

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Solution

The third proportional to 202,119 and 428,883 is: 910,061.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,119 : 428,883 = 428,883 : x
  2. Step 2: Convert to fraction form
    202,119/428,883 = 428,883/x
  3. Step 3: Cross multiply
    202,119x = 428,883 × 428,883
  4. Step 4: Simplify right side
    202,119x = 183,940,627,689
  5. Step 5: Solve for x
    x = 183,940,627,689/202,119
  6. Step 6: Final answer
    x = 910,061.04

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.