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Finding the Third Proportional to 209,301 and 313,131

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Solution

The third proportional to 209,301 and 313,131 is: 468,468.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,301 : 313,131 = 313,131 : x
  2. Step 2: Convert to fraction form
    209,301/313,131 = 313,131/x
  3. Step 3: Cross multiply
    209,301x = 313,131 × 313,131
  4. Step 4: Simplify right side
    209,301x = 98,051,023,161
  5. Step 5: Solve for x
    x = 98,051,023,161/209,301
  6. Step 6: Final answer
    x = 468,468.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.