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Finding the Third Proportional to 207,396 and 427,688

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Solution

The third proportional to 207,396 and 427,688 is: 881,969.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,396 : 427,688 = 427,688 : x
  2. Step 2: Convert to fraction form
    207,396/427,688 = 427,688/x
  3. Step 3: Cross multiply
    207,396x = 427,688 × 427,688
  4. Step 4: Simplify right side
    207,396x = 182,917,025,344
  5. Step 5: Solve for x
    x = 182,917,025,344/207,396
  6. Step 6: Final answer
    x = 881,969.88

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.