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Finding the Third Proportional to 238,500 and 520,692

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Solution

The third proportional to 238,500 and 520,692 is: 1,136,772.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,500 : 520,692 = 520,692 : x
  2. Step 2: Convert to fraction form
    238,500/520,692 = 520,692/x
  3. Step 3: Cross multiply
    238,500x = 520,692 × 520,692
  4. Step 4: Simplify right side
    238,500x = 271,120,158,864
  5. Step 5: Solve for x
    x = 271,120,158,864/238,500
  6. Step 6: Final answer
    x = 1,136,772.15

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.