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Finding the Third Proportional to 207,398 and 320,817

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Solution

The third proportional to 207,398 and 320,817 is: 496,261.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,398 : 320,817 = 320,817 : x
  2. Step 2: Convert to fraction form
    207,398/320,817 = 320,817/x
  3. Step 3: Cross multiply
    207,398x = 320,817 × 320,817
  4. Step 4: Simplify right side
    207,398x = 102,923,547,489
  5. Step 5: Solve for x
    x = 102,923,547,489/207,398
  6. Step 6: Final answer
    x = 496,261.04

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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.