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Finding the Third Proportional to 131,283 and 286,327

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Solution

The third proportional to 131,283 and 286,327 is: 624,476.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,283 : 286,327 = 286,327 : x
  2. Step 2: Convert to fraction form
    131,283/286,327 = 286,327/x
  3. Step 3: Cross multiply
    131,283x = 286,327 × 286,327
  4. Step 4: Simplify right side
    131,283x = 81,983,150,929
  5. Step 5: Solve for x
    x = 81,983,150,929/131,283
  6. Step 6: Final answer
    x = 624,476.52

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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.