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Finding the Third Proportional to 131,374 and 288,991

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Solution

The third proportional to 131,374 and 288,991 is: 635,710.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,374 : 288,991 = 288,991 : x
  2. Step 2: Convert to fraction form
    131,374/288,991 = 288,991/x
  3. Step 3: Cross multiply
    131,374x = 288,991 × 288,991
  4. Step 4: Simplify right side
    131,374x = 83,515,798,081
  5. Step 5: Solve for x
    x = 83,515,798,081/131,374
  6. Step 6: Final answer
    x = 635,710.25

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Why These Related Problems?

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