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Finding the Third Proportional to 286,694 and 400,989

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Solution

The third proportional to 286,694 and 400,989 is: 560,849.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,694 : 400,989 = 400,989 : x
  2. Step 2: Convert to fraction form
    286,694/400,989 = 400,989/x
  3. Step 3: Cross multiply
    286,694x = 400,989 × 400,989
  4. Step 4: Simplify right side
    286,694x = 160,792,178,121
  5. Step 5: Solve for x
    x = 160,792,178,121/286,694
  6. Step 6: Final answer
    x = 560,849.47

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.