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Finding the Third Proportional to 286,659 and 400,936.50

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Solution

The third proportional to 286,659 and 400,936.50 is: 560,771.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,659 : 400,936.50 = 400,936.50 : x
  2. Step 2: Convert to fraction form
    286,659/400,936.50 = 400,936.50/x
  3. Step 3: Cross multiply
    286,659x = 400,936.50 × 400,936.50
  4. Step 4: Simplify right side
    286,659x = 160,750,077,032.25
  5. Step 5: Solve for x
    x = 160,750,077,032.25/286,659
  6. Step 6: Final answer
    x = 560,771.08

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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.