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Finding the Third Proportional to 142,092 and 313,830

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Solution

The third proportional to 142,092 and 313,830 is: 693,137.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,092 : 313,830 = 313,830 : x
  2. Step 2: Convert to fraction form
    142,092/313,830 = 313,830/x
  3. Step 3: Cross multiply
    142,092x = 313,830 × 313,830
  4. Step 4: Simplify right side
    142,092x = 98,489,268,900
  5. Step 5: Solve for x
    x = 98,489,268,900/142,092
  6. Step 6: Final answer
    x = 693,137.33

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.