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Finding the Third Proportional to 100,521.50 and 221,033

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Solution

The third proportional to 100,521.50 and 221,033 is: 486,021.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,521.50 : 221,033 = 221,033 : x
  2. Step 2: Convert to fraction form
    100,521.50/221,033 = 221,033/x
  3. Step 3: Cross multiply
    100,521.50x = 221,033 × 221,033
  4. Step 4: Simplify right side
    100,521.50x = 48,855,587,089
  5. Step 5: Solve for x
    x = 48,855,587,089/100,521.50
  6. Step 6: Final answer
    x = 486,021.27

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.