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Finding the Third Proportional to 202,109 and 428,859

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Solution

The third proportional to 202,109 and 428,859 is: 910,004.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,109 : 428,859 = 428,859 : x
  2. Step 2: Convert to fraction form
    202,109/428,859 = 428,859/x
  3. Step 3: Cross multiply
    202,109x = 428,859 × 428,859
  4. Step 4: Simplify right side
    202,109x = 183,920,041,881
  5. Step 5: Solve for x
    x = 183,920,041,881/202,109
  6. Step 6: Final answer
    x = 910,004.21

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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.