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Finding the Third Proportional to 127,450 and 178,260

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Solution

The third proportional to 127,450 and 178,260 is: 249,326.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,450 : 178,260 = 178,260 : x
  2. Step 2: Convert to fraction form
    127,450/178,260 = 178,260/x
  3. Step 3: Cross multiply
    127,450x = 178,260 × 178,260
  4. Step 4: Simplify right side
    127,450x = 31,776,627,600
  5. Step 5: Solve for x
    x = 31,776,627,600/127,450
  6. Step 6: Final answer
    x = 249,326.23

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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.