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Finding the Third Proportional to 285,139 and 398,645

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Solution

The third proportional to 285,139 and 398,645 is: 557,334.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,139 : 398,645 = 398,645 : x
  2. Step 2: Convert to fraction form
    285,139/398,645 = 398,645/x
  3. Step 3: Cross multiply
    285,139x = 398,645 × 398,645
  4. Step 4: Simplify right side
    285,139x = 158,917,836,025
  5. Step 5: Solve for x
    x = 158,917,836,025/285,139
  6. Step 6: Final answer
    x = 557,334.62

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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.