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Finding the Third Proportional to 127,400 and 178,188

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Solution

The third proportional to 127,400 and 178,188 is: 249,222.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,400 : 178,188 = 178,188 : x
  2. Step 2: Convert to fraction form
    127,400/178,188 = 178,188/x
  3. Step 3: Cross multiply
    127,400x = 178,188 × 178,188
  4. Step 4: Simplify right side
    127,400x = 31,750,963,344
  5. Step 5: Solve for x
    x = 31,750,963,344/127,400
  6. Step 6: Final answer
    x = 249,222.63

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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.