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Finding the Third Proportional to 239,220 and 515,304

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Solution

The third proportional to 239,220 and 515,304 is: 1,110,016.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,220 : 515,304 = 515,304 : x
  2. Step 2: Convert to fraction form
    239,220/515,304 = 515,304/x
  3. Step 3: Cross multiply
    239,220x = 515,304 × 515,304
  4. Step 4: Simplify right side
    239,220x = 265,538,212,416
  5. Step 5: Solve for x
    x = 265,538,212,416/239,220
  6. Step 6: Final answer
    x = 1,110,016.77

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.