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Finding the Third Proportional to 121,462 and 256,128

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Solution

The third proportional to 121,462 and 256,128 is: 540,099.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,462 : 256,128 = 256,128 : x
  2. Step 2: Convert to fraction form
    121,462/256,128 = 256,128/x
  3. Step 3: Cross multiply
    121,462x = 256,128 × 256,128
  4. Step 4: Simplify right side
    121,462x = 65,601,552,384
  5. Step 5: Solve for x
    x = 65,601,552,384/121,462
  6. Step 6: Final answer
    x = 540,099.39

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.