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Finding the Third Proportional to 202,208 and 313,972

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Solution

The third proportional to 202,208 and 313,972 is: 487,509.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,208 : 313,972 = 313,972 : x
  2. Step 2: Convert to fraction form
    202,208/313,972 = 313,972/x
  3. Step 3: Cross multiply
    202,208x = 313,972 × 313,972
  4. Step 4: Simplify right side
    202,208x = 98,578,416,784
  5. Step 5: Solve for x
    x = 98,578,416,784/202,208
  6. Step 6: Final answer
    x = 487,509.97

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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.