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Finding the Third Proportional to 4,225.50 and 9,781.80

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Solution

The third proportional to 4,225.50 and 9,781.80 is: 22,644.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,225.50 : 9,781.80 = 9,781.80 : x
  2. Step 2: Convert to fraction form
    4,225.50/9,781.80 = 9,781.80/x
  3. Step 3: Cross multiply
    4,225.50x = 9,781.80 × 9,781.80
  4. Step 4: Simplify right side
    4,225.50x = 95,683,702.94
  5. Step 5: Solve for x
    x = 95,683,702.94/4,225.50
  6. Step 6: Final answer
    x = 22,644.35

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.