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Finding the Third Proportional to 131,517 and 287,577

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Solution

The third proportional to 131,517 and 287,577 is: 628,820.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,517 : 287,577 = 287,577 : x
  2. Step 2: Convert to fraction form
    131,517/287,577 = 287,577/x
  3. Step 3: Cross multiply
    131,517x = 287,577 × 287,577
  4. Step 4: Simplify right side
    131,517x = 82,700,530,929
  5. Step 5: Solve for x
    x = 82,700,530,929/131,517
  6. Step 6: Final answer
    x = 628,820.08

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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.