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Finding the Third Proportional to 202,443 and 288,385

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Solution

The third proportional to 202,443 and 288,385 is: 410,811.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,443 : 288,385 = 288,385 : x
  2. Step 2: Convert to fraction form
    202,443/288,385 = 288,385/x
  3. Step 3: Cross multiply
    202,443x = 288,385 × 288,385
  4. Step 4: Simplify right side
    202,443x = 83,165,908,225
  5. Step 5: Solve for x
    x = 83,165,908,225/202,443
  6. Step 6: Final answer
    x = 410,811.48

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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.