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Finding the Third Proportional to 127,671.50 and 178,905

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Solution

The third proportional to 127,671.50 and 178,905 is: 250,698.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,671.50 : 178,905 = 178,905 : x
  2. Step 2: Convert to fraction form
    127,671.50/178,905 = 178,905/x
  3. Step 3: Cross multiply
    127,671.50x = 178,905 × 178,905
  4. Step 4: Simplify right side
    127,671.50x = 32,006,999,025
  5. Step 5: Solve for x
    x = 32,006,999,025/127,671.50
  6. Step 6: Final answer
    x = 250,698.07

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.