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Finding the Third Proportional to 99,784 and 218,360

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Solution

The third proportional to 99,784 and 218,360 is: 477,843.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,784 : 218,360 = 218,360 : x
  2. Step 2: Convert to fraction form
    99,784/218,360 = 218,360/x
  3. Step 3: Cross multiply
    99,784x = 218,360 × 218,360
  4. Step 4: Simplify right side
    99,784x = 47,681,089,600
  5. Step 5: Solve for x
    x = 47,681,089,600/99,784
  6. Step 6: Final answer
    x = 477,843.04

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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.