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Finding the Third Proportional to 99,800.86 and 216,213.05

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Solution

The third proportional to 99,800.86 and 216,213.05 is: 468,413.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,800.86 : 216,213.05 = 216,213.05 : x
  2. Step 2: Convert to fraction form
    99,800.86/216,213.05 = 216,213.05/x
  3. Step 3: Cross multiply
    99,800.86x = 216,213.05 × 216,213.05
  4. Step 4: Simplify right side
    99,800.86x = 46,748,081,638.97
  5. Step 5: Solve for x
    x = 46,748,081,638.97/99,800.86
  6. Step 6: Final answer
    x = 468,413.62

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.