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Finding the Third Proportional to 153,281 and 239,234

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Solution

The third proportional to 153,281 and 239,234 is: 373,385.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,281 : 239,234 = 239,234 : x
  2. Step 2: Convert to fraction form
    153,281/239,234 = 239,234/x
  3. Step 3: Cross multiply
    153,281x = 239,234 × 239,234
  4. Step 4: Simplify right side
    153,281x = 57,232,906,756
  5. Step 5: Solve for x
    x = 57,232,906,756/153,281
  6. Step 6: Final answer
    x = 373,385.53

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.