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Finding the Third Proportional to 207,370 and 409,864

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Solution

The third proportional to 207,370 and 409,864 is: 810,090.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,370 : 409,864 = 409,864 : x
  2. Step 2: Convert to fraction form
    207,370/409,864 = 409,864/x
  3. Step 3: Cross multiply
    207,370x = 409,864 × 409,864
  4. Step 4: Simplify right side
    207,370x = 167,988,498,496
  5. Step 5: Solve for x
    x = 167,988,498,496/207,370
  6. Step 6: Final answer
    x = 810,090.65

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Why These Related Problems?

These problems maintain the same ratio (1.98) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.