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Finding the Third Proportional to 256,119.75 and 375,876

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Solution

The third proportional to 256,119.75 and 375,876 is: 551,627.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,119.75 : 375,876 = 375,876 : x
  2. Step 2: Convert to fraction form
    256,119.75/375,876 = 375,876/x
  3. Step 3: Cross multiply
    256,119.75x = 375,876 × 375,876
  4. Step 4: Simplify right side
    256,119.75x = 141,282,767,376
  5. Step 5: Solve for x
    x = 141,282,767,376/256,119.75
  6. Step 6: Final answer
    x = 551,627.77

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.