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Finding the Third Proportional to 185,717 and 400,989.50

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Solution

The third proportional to 185,717 and 400,989.50 is: 865,793.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,717 : 400,989.50 = 400,989.50 : x
  2. Step 2: Convert to fraction form
    185,717/400,989.50 = 400,989.50/x
  3. Step 3: Cross multiply
    185,717x = 400,989.50 × 400,989.50
  4. Step 4: Simplify right side
    185,717x = 160,792,579,110.25
  5. Step 5: Solve for x
    x = 160,792,579,110.25/185,717
  6. Step 6: Final answer
    x = 865,793.54

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.