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Finding the Third Proportional to 199,880 and 434,584

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Solution

The third proportional to 199,880 and 434,584 is: 944,883.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,880 : 434,584 = 434,584 : x
  2. Step 2: Convert to fraction form
    199,880/434,584 = 434,584/x
  3. Step 3: Cross multiply
    199,880x = 434,584 × 434,584
  4. Step 4: Simplify right side
    199,880x = 188,863,253,056
  5. Step 5: Solve for x
    x = 188,863,253,056/199,880
  6. Step 6: Final answer
    x = 944,883.20

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.