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Finding the Third Proportional to 285,140 and 398,642

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Solution

The third proportional to 285,140 and 398,642 is: 557,324.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,140 : 398,642 = 398,642 : x
  2. Step 2: Convert to fraction form
    285,140/398,642 = 398,642/x
  3. Step 3: Cross multiply
    285,140x = 398,642 × 398,642
  4. Step 4: Simplify right side
    285,140x = 158,915,444,164
  5. Step 5: Solve for x
    x = 158,915,444,164/285,140
  6. Step 6: Final answer
    x = 557,324.28

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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.