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Finding the Third Proportional to 101,778 and 221,064

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Solution

The third proportional to 101,778 and 221,064 is: 480,155.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,778 : 221,064 = 221,064 : x
  2. Step 2: Convert to fraction form
    101,778/221,064 = 221,064/x
  3. Step 3: Cross multiply
    101,778x = 221,064 × 221,064
  4. Step 4: Simplify right side
    101,778x = 48,869,292,096
  5. Step 5: Solve for x
    x = 48,869,292,096/101,778
  6. Step 6: Final answer
    x = 480,155.75

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.