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Finding the Third Proportional to 221,712 and 338,104

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Solution

The third proportional to 221,712 and 338,104 is: 515,598.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,712 : 338,104 = 338,104 : x
  2. Step 2: Convert to fraction form
    221,712/338,104 = 338,104/x
  3. Step 3: Cross multiply
    221,712x = 338,104 × 338,104
  4. Step 4: Simplify right side
    221,712x = 114,314,314,816
  5. Step 5: Solve for x
    x = 114,314,314,816/221,712
  6. Step 6: Final answer
    x = 515,598.23

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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.