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Finding the Third Proportional to 202,106 and 313,822

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Solution

The third proportional to 202,106 and 313,822 is: 487,290.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,106 : 313,822 = 313,822 : x
  2. Step 2: Convert to fraction form
    202,106/313,822 = 313,822/x
  3. Step 3: Cross multiply
    202,106x = 313,822 × 313,822
  4. Step 4: Simplify right side
    202,106x = 98,484,247,684
  5. Step 5: Solve for x
    x = 98,484,247,684/202,106
  6. Step 6: Final answer
    x = 487,290.07

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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.