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Finding the Third Proportional to 150,230 and 319,612

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Solution

The third proportional to 150,230 and 319,612 is: 679,969.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,230 : 319,612 = 319,612 : x
  2. Step 2: Convert to fraction form
    150,230/319,612 = 319,612/x
  3. Step 3: Cross multiply
    150,230x = 319,612 × 319,612
  4. Step 4: Simplify right side
    150,230x = 102,151,830,544
  5. Step 5: Solve for x
    x = 102,151,830,544/150,230
  6. Step 6: Final answer
    x = 679,969.58

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.