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Finding the Third Proportional to 167,840.25 and 256,143.75

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Solution

The third proportional to 167,840.25 and 256,143.75 is: 390,905.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,840.25 : 256,143.75 = 256,143.75 : x
  2. Step 2: Convert to fraction form
    167,840.25/256,143.75 = 256,143.75/x
  3. Step 3: Cross multiply
    167,840.25x = 256,143.75 × 256,143.75
  4. Step 4: Simplify right side
    167,840.25x = 65,609,620,664.06
  5. Step 5: Solve for x
    x = 65,609,620,664.06/167,840.25
  6. Step 6: Final answer
    x = 390,905.17

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.