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Finding the Third Proportional to 131,724 and 283,455

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Solution

The third proportional to 131,724 and 283,455 is: 609,962.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,724 : 283,455 = 283,455 : x
  2. Step 2: Convert to fraction form
    131,724/283,455 = 283,455/x
  3. Step 3: Cross multiply
    131,724x = 283,455 × 283,455
  4. Step 4: Simplify right side
    131,724x = 80,346,737,025
  5. Step 5: Solve for x
    x = 80,346,737,025/131,724
  6. Step 6: Final answer
    x = 609,962.78

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.