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Finding the Third Proportional to 134,180 and 289,381

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Solution

The third proportional to 134,180 and 289,381 is: 624,097.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,180 : 289,381 = 289,381 : x
  2. Step 2: Convert to fraction form
    134,180/289,381 = 289,381/x
  3. Step 3: Cross multiply
    134,180x = 289,381 × 289,381
  4. Step 4: Simplify right side
    134,180x = 83,741,363,161
  5. Step 5: Solve for x
    x = 83,741,363,161/134,180
  6. Step 6: Final answer
    x = 624,097.21

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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.