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Finding the Third Proportional to 131,460 and 283,272

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Solution

The third proportional to 131,460 and 283,272 is: 610,398.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,460 : 283,272 = 283,272 : x
  2. Step 2: Convert to fraction form
    131,460/283,272 = 283,272/x
  3. Step 3: Cross multiply
    131,460x = 283,272 × 283,272
  4. Step 4: Simplify right side
    131,460x = 80,243,025,984
  5. Step 5: Solve for x
    x = 80,243,025,984/131,460
  6. Step 6: Final answer
    x = 610,398.80

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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.