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Finding the Third Proportional to 202,959 and 288,477

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Solution

The third proportional to 202,959 and 288,477 is: 410,028.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,959 : 288,477 = 288,477 : x
  2. Step 2: Convert to fraction form
    202,959/288,477 = 288,477/x
  3. Step 3: Cross multiply
    202,959x = 288,477 × 288,477
  4. Step 4: Simplify right side
    202,959x = 83,218,979,529
  5. Step 5: Solve for x
    x = 83,218,979,529/202,959
  6. Step 6: Final answer
    x = 410,028.53

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.