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Finding the Third Proportional to 207,639 and 409,128

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Solution

The third proportional to 207,639 and 409,128 is: 806,138.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,639 : 409,128 = 409,128 : x
  2. Step 2: Convert to fraction form
    207,639/409,128 = 409,128/x
  3. Step 3: Cross multiply
    207,639x = 409,128 × 409,128
  4. Step 4: Simplify right side
    207,639x = 167,385,720,384
  5. Step 5: Solve for x
    x = 167,385,720,384/207,639
  6. Step 6: Final answer
    x = 806,138.16

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.