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Finding the Third Proportional to 199,888 and 434,600

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Solution

The third proportional to 199,888 and 434,600 is: 944,914.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,888 : 434,600 = 434,600 : x
  2. Step 2: Convert to fraction form
    199,888/434,600 = 434,600/x
  3. Step 3: Cross multiply
    199,888x = 434,600 × 434,600
  4. Step 4: Simplify right side
    199,888x = 188,877,160,000
  5. Step 5: Solve for x
    x = 188,877,160,000/199,888
  6. Step 6: Final answer
    x = 944,914.95

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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.