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Finding the Third Proportional to 8,946.50 and 19,663

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Solution

The third proportional to 8,946.50 and 19,663 is: 43,216.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,946.50 : 19,663 = 19,663 : x
  2. Step 2: Convert to fraction form
    8,946.50/19,663 = 19,663/x
  3. Step 3: Cross multiply
    8,946.50x = 19,663 × 19,663
  4. Step 4: Simplify right side
    8,946.50x = 386,633,569
  5. Step 5: Solve for x
    x = 386,633,569/8,946.50
  6. Step 6: Final answer
    x = 43,216.18

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.