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Finding the Third Proportional to 261,276 and 381,832

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Solution

The third proportional to 261,276 and 381,832 is: 558,014.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,276 : 381,832 = 381,832 : x
  2. Step 2: Convert to fraction form
    261,276/381,832 = 381,832/x
  3. Step 3: Cross multiply
    261,276x = 381,832 × 381,832
  4. Step 4: Simplify right side
    261,276x = 145,795,676,224
  5. Step 5: Solve for x
    x = 145,795,676,224/261,276
  6. Step 6: Final answer
    x = 558,014.04

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.