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Finding the Third Proportional to 101,068 and 220,066

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Solution

The third proportional to 101,068 and 220,066 is: 479,172.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,068 : 220,066 = 220,066 : x
  2. Step 2: Convert to fraction form
    101,068/220,066 = 220,066/x
  3. Step 3: Cross multiply
    101,068x = 220,066 × 220,066
  4. Step 4: Simplify right side
    101,068x = 48,429,044,356
  5. Step 5: Solve for x
    x = 48,429,044,356/101,068
  6. Step 6: Final answer
    x = 479,172.88

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.