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Finding the Third Proportional to 285,177 and 398,701.50

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Solution

The third proportional to 285,177 and 398,701.50 is: 557,418.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,177 : 398,701.50 = 398,701.50 : x
  2. Step 2: Convert to fraction form
    285,177/398,701.50 = 398,701.50/x
  3. Step 3: Cross multiply
    285,177x = 398,701.50 × 398,701.50
  4. Step 4: Simplify right side
    285,177x = 158,962,886,102.25
  5. Step 5: Solve for x
    x = 158,962,886,102.25/285,177
  6. Step 6: Final answer
    x = 557,418.33

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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.