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Finding the Third Proportional to 202,120 and 313,842

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Solution

The third proportional to 202,120 and 313,842 is: 487,318.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,120 : 313,842 = 313,842 : x
  2. Step 2: Convert to fraction form
    202,120/313,842 = 313,842/x
  3. Step 3: Cross multiply
    202,120x = 313,842 × 313,842
  4. Step 4: Simplify right side
    202,120x = 98,496,800,964
  5. Step 5: Solve for x
    x = 98,496,800,964/202,120
  6. Step 6: Final answer
    x = 487,318.43

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.