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Finding the Third Proportional to 142,270 and 311,324

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Solution

The third proportional to 142,270 and 311,324 is: 681,258.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,270 : 311,324 = 311,324 : x
  2. Step 2: Convert to fraction form
    142,270/311,324 = 311,324/x
  3. Step 3: Cross multiply
    142,270x = 311,324 × 311,324
  4. Step 4: Simplify right side
    142,270x = 96,922,632,976
  5. Step 5: Solve for x
    x = 96,922,632,976/142,270
  6. Step 6: Final answer
    x = 681,258.40

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.