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Finding the Third Proportional to 285,264 and 398,796

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Solution

The third proportional to 285,264 and 398,796 is: 557,512.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,264 : 398,796 = 398,796 : x
  2. Step 2: Convert to fraction form
    285,264/398,796 = 398,796/x
  3. Step 3: Cross multiply
    285,264x = 398,796 × 398,796
  4. Step 4: Simplify right side
    285,264x = 159,038,249,616
  5. Step 5: Solve for x
    x = 159,038,249,616/285,264
  6. Step 6: Final answer
    x = 557,512.51

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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.