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Finding the Third Proportional to 131,431.36 and 287,186.77

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Solution

The third proportional to 131,431.36 and 287,186.77 is: 627,523.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,431.36 : 287,186.77 = 287,186.77 : x
  2. Step 2: Convert to fraction form
    131,431.36/287,186.77 = 287,186.77/x
  3. Step 3: Cross multiply
    131,431.36x = 287,186.77 × 287,186.77
  4. Step 4: Simplify right side
    131,431.36x = 82,476,238,350.15
  5. Step 5: Solve for x
    x = 82,476,238,350.15/131,431.36
  6. Step 6: Final answer
    x = 627,523.28

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.