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Finding the Third Proportional to 285,284 and 398,815

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Solution

The third proportional to 285,284 and 398,815 is: 557,526.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,284 : 398,815 = 398,815 : x
  2. Step 2: Convert to fraction form
    285,284/398,815 = 398,815/x
  3. Step 3: Cross multiply
    285,284x = 398,815 × 398,815
  4. Step 4: Simplify right side
    285,284x = 159,053,404,225
  5. Step 5: Solve for x
    x = 159,053,404,225/285,284
  6. Step 6: Final answer
    x = 557,526.55

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.