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Finding the Third Proportional to 204,028 and 286,807

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Solution

The third proportional to 204,028 and 286,807 is: 403,171.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,028 : 286,807 = 286,807 : x
  2. Step 2: Convert to fraction form
    204,028/286,807 = 286,807/x
  3. Step 3: Cross multiply
    204,028x = 286,807 × 286,807
  4. Step 4: Simplify right side
    204,028x = 82,258,255,249
  5. Step 5: Solve for x
    x = 82,258,255,249/204,028
  6. Step 6: Final answer
    x = 403,171.40

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.