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Finding the Third Proportional to 142,100 and 313,842

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Solution

The third proportional to 142,100 and 313,842 is: 693,151.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,100 : 313,842 = 313,842 : x
  2. Step 2: Convert to fraction form
    142,100/313,842 = 313,842/x
  3. Step 3: Cross multiply
    142,100x = 313,842 × 313,842
  4. Step 4: Simplify right side
    142,100x = 98,496,800,964
  5. Step 5: Solve for x
    x = 98,496,800,964/142,100
  6. Step 6: Final answer
    x = 693,151.31

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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.