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Finding the Third Proportional to 202,962 and 440,502

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Solution

The third proportional to 202,962 and 440,502 is: 956,050.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,962 : 440,502 = 440,502 : x
  2. Step 2: Convert to fraction form
    202,962/440,502 = 440,502/x
  3. Step 3: Cross multiply
    202,962x = 440,502 × 440,502
  4. Step 4: Simplify right side
    202,962x = 194,042,012,004
  5. Step 5: Solve for x
    x = 194,042,012,004/202,962
  6. Step 6: Final answer
    x = 956,050.95

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.