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Finding the Third Proportional to 256,232 and 374,474

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Solution

The third proportional to 256,232 and 374,474 is: 547,280.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,232 : 374,474 = 374,474 : x
  2. Step 2: Convert to fraction form
    256,232/374,474 = 374,474/x
  3. Step 3: Cross multiply
    256,232x = 374,474 × 374,474
  4. Step 4: Simplify right side
    256,232x = 140,230,776,676
  5. Step 5: Solve for x
    x = 140,230,776,676/256,232
  6. Step 6: Final answer
    x = 547,280.50

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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.