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Finding the Third Proportional to 131,377 and 288,997

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Solution

The third proportional to 131,377 and 288,997 is: 635,722.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,377 : 288,997 = 288,997 : x
  2. Step 2: Convert to fraction form
    131,377/288,997 = 288,997/x
  3. Step 3: Cross multiply
    131,377x = 288,997 × 288,997
  4. Step 4: Simplify right side
    131,377x = 83,519,266,009
  5. Step 5: Solve for x
    x = 83,519,266,009/131,377
  6. Step 6: Final answer
    x = 635,722.13

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.