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Finding the Third Proportional to 261,132 and 397,152

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Solution

The third proportional to 261,132 and 397,152 is: 604,022.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,132 : 397,152 = 397,152 : x
  2. Step 2: Convert to fraction form
    261,132/397,152 = 397,152/x
  3. Step 3: Cross multiply
    261,132x = 397,152 × 397,152
  4. Step 4: Simplify right side
    261,132x = 157,729,711,104
  5. Step 5: Solve for x
    x = 157,729,711,104/261,132
  6. Step 6: Final answer
    x = 604,022.91

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.