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Finding the Third Proportional to 127,360 and 178,160

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Solution

The third proportional to 127,360 and 178,160 is: 249,222.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,360 : 178,160 = 178,160 : x
  2. Step 2: Convert to fraction form
    127,360/178,160 = 178,160/x
  3. Step 3: Cross multiply
    127,360x = 178,160 × 178,160
  4. Step 4: Simplify right side
    127,360x = 31,740,985,600
  5. Step 5: Solve for x
    x = 31,740,985,600/127,360
  6. Step 6: Final answer
    x = 249,222.56

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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.