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Finding the Third Proportional to 103,638 and 216,660

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Solution

The third proportional to 103,638 and 216,660 is: 452,937.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,638 : 216,660 = 216,660 : x
  2. Step 2: Convert to fraction form
    103,638/216,660 = 216,660/x
  3. Step 3: Cross multiply
    103,638x = 216,660 × 216,660
  4. Step 4: Simplify right side
    103,638x = 46,941,555,600
  5. Step 5: Solve for x
    x = 46,941,555,600/103,638
  6. Step 6: Final answer
    x = 452,937.68

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.