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Finding the Third Proportional to 171,411.75 and 256,955.63

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Solution

The third proportional to 171,411.75 and 256,955.63 is: 385,190.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,411.75 : 256,955.63 = 256,955.63 : x
  2. Step 2: Convert to fraction form
    171,411.75/256,955.63 = 256,955.63/x
  3. Step 3: Cross multiply
    171,411.75x = 256,955.63 × 256,955.63
  4. Step 4: Simplify right side
    171,411.75x = 66,026,193,219.14
  5. Step 5: Solve for x
    x = 66,026,193,219.14/171,411.75
  6. Step 6: Final answer
    x = 385,190.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.