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Finding the Third Proportional to 202,788 and 440,136

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Solution

The third proportional to 202,788 and 440,136 is: 955,281.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,788 : 440,136 = 440,136 : x
  2. Step 2: Convert to fraction form
    202,788/440,136 = 440,136/x
  3. Step 3: Cross multiply
    202,788x = 440,136 × 440,136
  4. Step 4: Simplify right side
    202,788x = 193,719,698,496
  5. Step 5: Solve for x
    x = 193,719,698,496/202,788
  6. Step 6: Final answer
    x = 955,281.86

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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.