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Finding the Third Proportional to 256,006 and 558,236

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Solution

The third proportional to 256,006 and 558,236 is: 1,217,266.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,006 : 558,236 = 558,236 : x
  2. Step 2: Convert to fraction form
    256,006/558,236 = 558,236/x
  3. Step 3: Cross multiply
    256,006x = 558,236 × 558,236
  4. Step 4: Simplify right side
    256,006x = 311,627,431,696
  5. Step 5: Solve for x
    x = 311,627,431,696/256,006
  6. Step 6: Final answer
    x = 1,217,266.13

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.