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Finding the Third Proportional to 131,490 and 283,992

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Solution

The third proportional to 131,490 and 283,992 is: 613,365.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,490 : 283,992 = 283,992 : x
  2. Step 2: Convert to fraction form
    131,490/283,992 = 283,992/x
  3. Step 3: Cross multiply
    131,490x = 283,992 × 283,992
  4. Step 4: Simplify right side
    131,490x = 80,651,456,064
  5. Step 5: Solve for x
    x = 80,651,456,064/131,490
  6. Step 6: Final answer
    x = 613,365.70

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.