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Finding the Third Proportional to 199,730 and 434,722

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Solution

The third proportional to 199,730 and 434,722 is: 946,193.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,730 : 434,722 = 434,722 : x
  2. Step 2: Convert to fraction form
    199,730/434,722 = 434,722/x
  3. Step 3: Cross multiply
    199,730x = 434,722 × 434,722
  4. Step 4: Simplify right side
    199,730x = 188,983,217,284
  5. Step 5: Solve for x
    x = 188,983,217,284/199,730
  6. Step 6: Final answer
    x = 946,193.45

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.