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Finding the Third Proportional to 103,632 and 216,647

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Solution

The third proportional to 103,632 and 216,647 is: 452,909.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,632 : 216,647 = 216,647 : x
  2. Step 2: Convert to fraction form
    103,632/216,647 = 216,647/x
  3. Step 3: Cross multiply
    103,632x = 216,647 × 216,647
  4. Step 4: Simplify right side
    103,632x = 46,935,922,609
  5. Step 5: Solve for x
    x = 46,935,922,609/103,632
  6. Step 6: Final answer
    x = 452,909.55

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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.