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Finding the Third Proportional to 131,180 and 286,984

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Solution

The third proportional to 131,180 and 286,984 is: 627,838.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,180 : 286,984 = 286,984 : x
  2. Step 2: Convert to fraction form
    131,180/286,984 = 286,984/x
  3. Step 3: Cross multiply
    131,180x = 286,984 × 286,984
  4. Step 4: Simplify right side
    131,180x = 82,359,816,256
  5. Step 5: Solve for x
    x = 82,359,816,256/131,180
  6. Step 6: Final answer
    x = 627,838.21

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.