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Finding the Third Proportional to 218,898 and 476,136

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Solution

The third proportional to 218,898 and 476,136 is: 1,035,667.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,898 : 476,136 = 476,136 : x
  2. Step 2: Convert to fraction form
    218,898/476,136 = 476,136/x
  3. Step 3: Cross multiply
    218,898x = 476,136 × 476,136
  4. Step 4: Simplify right side
    218,898x = 226,705,490,496
  5. Step 5: Solve for x
    x = 226,705,490,496/218,898
  6. Step 6: Final answer
    x = 1,035,667.25

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.