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Finding the Third Proportional to 256,230 and 374,471

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Solution

The third proportional to 256,230 and 374,471 is: 547,276.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,230 : 374,471 = 374,471 : x
  2. Step 2: Convert to fraction form
    256,230/374,471 = 374,471/x
  3. Step 3: Cross multiply
    256,230x = 374,471 × 374,471
  4. Step 4: Simplify right side
    256,230x = 140,228,529,841
  5. Step 5: Solve for x
    x = 140,228,529,841/256,230
  6. Step 6: Final answer
    x = 547,276.00

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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.