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Finding the Third Proportional to 202,978 and 440,536

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Solution

The third proportional to 202,978 and 440,536 is: 956,123.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,978 : 440,536 = 440,536 : x
  2. Step 2: Convert to fraction form
    202,978/440,536 = 440,536/x
  3. Step 3: Cross multiply
    202,978x = 440,536 × 440,536
  4. Step 4: Simplify right side
    202,978x = 194,071,967,296
  5. Step 5: Solve for x
    x = 194,071,967,296/202,978
  6. Step 6: Final answer
    x = 956,123.16

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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.