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Finding the Third Proportional to 99,720 and 218,160

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Solution

The third proportional to 99,720 and 218,160 is: 477,274.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,720 : 218,160 = 218,160 : x
  2. Step 2: Convert to fraction form
    99,720/218,160 = 218,160/x
  3. Step 3: Cross multiply
    99,720x = 218,160 × 218,160
  4. Step 4: Simplify right side
    99,720x = 47,593,785,600
  5. Step 5: Solve for x
    x = 47,593,785,600/99,720
  6. Step 6: Final answer
    x = 477,274.22

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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.