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Finding the Third Proportional to 274,720 and 392,112

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Solution

The third proportional to 274,720 and 392,112 is: 559,667.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,720 : 392,112 = 392,112 : x
  2. Step 2: Convert to fraction form
    274,720/392,112 = 392,112/x
  3. Step 3: Cross multiply
    274,720x = 392,112 × 392,112
  4. Step 4: Simplify right side
    274,720x = 153,751,820,544
  5. Step 5: Solve for x
    x = 153,751,820,544/274,720
  6. Step 6: Final answer
    x = 559,667.37

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.