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Finding the Third Proportional to 256,139 and 411,546

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Solution

The third proportional to 256,139 and 411,546 is: 661,242.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,139 : 411,546 = 411,546 : x
  2. Step 2: Convert to fraction form
    256,139/411,546 = 411,546/x
  3. Step 3: Cross multiply
    256,139x = 411,546 × 411,546
  4. Step 4: Simplify right side
    256,139x = 169,370,110,116
  5. Step 5: Solve for x
    x = 169,370,110,116/256,139
  6. Step 6: Final answer
    x = 661,242.96

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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.