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Finding the Third Proportional to 100,664 and 217,720

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Solution

The third proportional to 100,664 and 217,720 is: 470,893.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,664 : 217,720 = 217,720 : x
  2. Step 2: Convert to fraction form
    100,664/217,720 = 217,720/x
  3. Step 3: Cross multiply
    100,664x = 217,720 × 217,720
  4. Step 4: Simplify right side
    100,664x = 47,401,998,400
  5. Step 5: Solve for x
    x = 47,401,998,400/100,664
  6. Step 6: Final answer
    x = 470,893.25

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.