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Finding the Third Proportional to 131,307 and 286,372

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Solution

The third proportional to 131,307 and 286,372 is: 624,558.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,307 : 286,372 = 286,372 : x
  2. Step 2: Convert to fraction form
    131,307/286,372 = 286,372/x
  3. Step 3: Cross multiply
    131,307x = 286,372 × 286,372
  4. Step 4: Simplify right side
    131,307x = 82,008,922,384
  5. Step 5: Solve for x
    x = 82,008,922,384/131,307
  6. Step 6: Final answer
    x = 624,558.65

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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.