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Finding the Third Proportional to 256,236 and 374,475

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Solution

The third proportional to 256,236 and 374,475 is: 547,274.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,236 : 374,475 = 374,475 : x
  2. Step 2: Convert to fraction form
    256,236/374,475 = 374,475/x
  3. Step 3: Cross multiply
    256,236x = 374,475 × 374,475
  4. Step 4: Simplify right side
    256,236x = 140,231,525,625
  5. Step 5: Solve for x
    x = 140,231,525,625/256,236
  6. Step 6: Final answer
    x = 547,274.88

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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.