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Finding the Third Proportional to 119,916 and 256,447

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Solution

The third proportional to 119,916 and 256,447 is: 548,426.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,916 : 256,447 = 256,447 : x
  2. Step 2: Convert to fraction form
    119,916/256,447 = 256,447/x
  3. Step 3: Cross multiply
    119,916x = 256,447 × 256,447
  4. Step 4: Simplify right side
    119,916x = 65,765,063,809
  5. Step 5: Solve for x
    x = 65,765,063,809/119,916
  6. Step 6: Final answer
    x = 548,426.10

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.