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Finding the Third Proportional to 418,136 and 903,344

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Solution

The third proportional to 418,136 and 903,344 is: 1,951,590.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,136 : 903,344 = 903,344 : x
  2. Step 2: Convert to fraction form
    418,136/903,344 = 903,344/x
  3. Step 3: Cross multiply
    418,136x = 903,344 × 903,344
  4. Step 4: Simplify right side
    418,136x = 816,030,382,336
  5. Step 5: Solve for x
    x = 816,030,382,336/418,136
  6. Step 6: Final answer
    x = 1,951,590.83

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.