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Finding the Third Proportional to 207,378 and 320,788

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Solution

The third proportional to 207,378 and 320,788 is: 496,219.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,378 : 320,788 = 320,788 : x
  2. Step 2: Convert to fraction form
    207,378/320,788 = 320,788/x
  3. Step 3: Cross multiply
    207,378x = 320,788 × 320,788
  4. Step 4: Simplify right side
    207,378x = 102,904,940,944
  5. Step 5: Solve for x
    x = 102,904,940,944/207,378
  6. Step 6: Final answer
    x = 496,219.18

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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.