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Finding the Third Proportional to 400,277.25 and 608,664.38

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Solution

The third proportional to 400,277.25 and 608,664.38 is: 925,539.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,277.25 : 608,664.38 = 608,664.38 : x
  2. Step 2: Convert to fraction form
    400,277.25/608,664.38 = 608,664.38/x
  3. Step 3: Cross multiply
    400,277.25x = 608,664.38 × 608,664.38
  4. Step 4: Simplify right side
    400,277.25x = 370,472,321,394.14
  5. Step 5: Solve for x
    x = 370,472,321,394.14/400,277.25
  6. Step 6: Final answer
    x = 925,539.29

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.