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Finding the Third Proportional to 199,890 and 434,604

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Solution

The third proportional to 199,890 and 434,604 is: 944,922.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,890 : 434,604 = 434,604 : x
  2. Step 2: Convert to fraction form
    199,890/434,604 = 434,604/x
  3. Step 3: Cross multiply
    199,890x = 434,604 × 434,604
  4. Step 4: Simplify right side
    199,890x = 188,880,636,816
  5. Step 5: Solve for x
    x = 188,880,636,816/199,890
  6. Step 6: Final answer
    x = 944,922.89

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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.