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Finding the Third Proportional to 131,880 and 289,410

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Solution

The third proportional to 131,880 and 289,410 is: 635,108.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,880 : 289,410 = 289,410 : x
  2. Step 2: Convert to fraction form
    131,880/289,410 = 289,410/x
  3. Step 3: Cross multiply
    131,880x = 289,410 × 289,410
  4. Step 4: Simplify right side
    131,880x = 83,758,148,100
  5. Step 5: Solve for x
    x = 83,758,148,100/131,880
  6. Step 6: Final answer
    x = 635,108.80

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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.