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Finding the Third Proportional to 202,285 and 291,385

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Solution

The third proportional to 202,285 and 291,385 is: 419,730.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,285 : 291,385 = 291,385 : x
  2. Step 2: Convert to fraction form
    202,285/291,385 = 291,385/x
  3. Step 3: Cross multiply
    202,285x = 291,385 × 291,385
  4. Step 4: Simplify right side
    202,285x = 84,905,218,225
  5. Step 5: Solve for x
    x = 84,905,218,225/202,285
  6. Step 6: Final answer
    x = 419,730.67

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.