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Finding the Third Proportional to 286,692 and 400,986

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Solution

The third proportional to 286,692 and 400,986 is: 560,844.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,692 : 400,986 = 400,986 : x
  2. Step 2: Convert to fraction form
    286,692/400,986 = 400,986/x
  3. Step 3: Cross multiply
    286,692x = 400,986 × 400,986
  4. Step 4: Simplify right side
    286,692x = 160,789,772,196
  5. Step 5: Solve for x
    x = 160,789,772,196/286,692
  6. Step 6: Final answer
    x = 560,844.99

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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.