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Finding the Third Proportional to 221,719 and 338,114

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Solution

The third proportional to 221,719 and 338,114 is: 515,612.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,719 : 338,114 = 338,114 : x
  2. Step 2: Convert to fraction form
    221,719/338,114 = 338,114/x
  3. Step 3: Cross multiply
    221,719x = 338,114 × 338,114
  4. Step 4: Simplify right side
    221,719x = 114,321,076,996
  5. Step 5: Solve for x
    x = 114,321,076,996/221,719
  6. Step 6: Final answer
    x = 515,612.45

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.