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Finding the Third Proportional to 254,843 and 404,865

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Solution

The third proportional to 254,843 and 404,865 is: 643,202.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,843 : 404,865 = 404,865 : x
  2. Step 2: Convert to fraction form
    254,843/404,865 = 404,865/x
  3. Step 3: Cross multiply
    254,843x = 404,865 × 404,865
  4. Step 4: Simplify right side
    254,843x = 163,915,668,225
  5. Step 5: Solve for x
    x = 163,915,668,225/254,843
  6. Step 6: Final answer
    x = 643,202.55

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.