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Finding the Third Proportional to 99,711 and 218,133

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Solution

The third proportional to 99,711 and 218,133 is: 477,199.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,711 : 218,133 = 218,133 : x
  2. Step 2: Convert to fraction form
    99,711/218,133 = 218,133/x
  3. Step 3: Cross multiply
    99,711x = 218,133 × 218,133
  4. Step 4: Simplify right side
    99,711x = 47,582,005,689
  5. Step 5: Solve for x
    x = 47,582,005,689/99,711
  6. Step 6: Final answer
    x = 477,199.16

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.