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Finding the Third Proportional to 202,583 and 376,253

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Solution

The third proportional to 202,583 and 376,253 is: 698,806.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,583 : 376,253 = 376,253 : x
  2. Step 2: Convert to fraction form
    202,583/376,253 = 376,253/x
  3. Step 3: Cross multiply
    202,583x = 376,253 × 376,253
  4. Step 4: Simplify right side
    202,583x = 141,566,320,009
  5. Step 5: Solve for x
    x = 141,566,320,009/202,583
  6. Step 6: Final answer
    x = 698,806.51

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.