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Finding the Third Proportional to 221,532 and 520,098

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Solution

The third proportional to 221,532 and 520,098 is: 1,221,051.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,532 : 520,098 = 520,098 : x
  2. Step 2: Convert to fraction form
    221,532/520,098 = 520,098/x
  3. Step 3: Cross multiply
    221,532x = 520,098 × 520,098
  4. Step 4: Simplify right side
    221,532x = 270,501,929,604
  5. Step 5: Solve for x
    x = 270,501,929,604/221,532
  6. Step 6: Final answer
    x = 1,221,051.27

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.