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Finding the Third Proportional to 131,126 and 287,278

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Solution

The third proportional to 131,126 and 287,278 is: 629,384.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,126 : 287,278 = 287,278 : x
  2. Step 2: Convert to fraction form
    131,126/287,278 = 287,278/x
  3. Step 3: Cross multiply
    131,126x = 287,278 × 287,278
  4. Step 4: Simplify right side
    131,126x = 82,528,649,284
  5. Step 5: Solve for x
    x = 82,528,649,284/131,126
  6. Step 6: Final answer
    x = 629,384.33

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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.