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Finding the Third Proportional to 131,296 and 286,356

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Solution

The third proportional to 131,296 and 286,356 is: 624,541.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,296 : 286,356 = 286,356 : x
  2. Step 2: Convert to fraction form
    131,296/286,356 = 286,356/x
  3. Step 3: Cross multiply
    131,296x = 286,356 × 286,356
  4. Step 4: Simplify right side
    131,296x = 81,999,758,736
  5. Step 5: Solve for x
    x = 81,999,758,736/131,296
  6. Step 6: Final answer
    x = 624,541.18

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.