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Finding the Third Proportional to 131,285 and 286,331

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Solution

The third proportional to 131,285 and 286,331 is: 624,484.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,285 : 286,331 = 286,331 : x
  2. Step 2: Convert to fraction form
    131,285/286,331 = 286,331/x
  3. Step 3: Cross multiply
    131,285x = 286,331 × 286,331
  4. Step 4: Simplify right side
    131,285x = 81,985,441,561
  5. Step 5: Solve for x
    x = 81,985,441,561/131,285
  6. Step 6: Final answer
    x = 624,484.45

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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.