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Finding the Third Proportional to 256,138 and 411,544

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Solution

The third proportional to 256,138 and 411,544 is: 661,239.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,138 : 411,544 = 411,544 : x
  2. Step 2: Convert to fraction form
    256,138/411,544 = 411,544/x
  3. Step 3: Cross multiply
    256,138x = 411,544 × 411,544
  4. Step 4: Simplify right side
    256,138x = 169,368,463,936
  5. Step 5: Solve for x
    x = 169,368,463,936/256,138
  6. Step 6: Final answer
    x = 661,239.11

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.