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Finding the Third Proportional to 256,234 and 374,477

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Solution

The third proportional to 256,234 and 374,477 is: 547,285.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,234 : 374,477 = 374,477 : x
  2. Step 2: Convert to fraction form
    256,234/374,477 = 374,477/x
  3. Step 3: Cross multiply
    256,234x = 374,477 × 374,477
  4. Step 4: Simplify right side
    256,234x = 140,233,023,529
  5. Step 5: Solve for x
    x = 140,233,023,529/256,234
  6. Step 6: Final answer
    x = 547,285.00

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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.