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Finding the Third Proportional to 199,712 and 434,691

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Solution

The third proportional to 199,712 and 434,691 is: 946,143.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,712 : 434,691 = 434,691 : x
  2. Step 2: Convert to fraction form
    199,712/434,691 = 434,691/x
  3. Step 3: Cross multiply
    199,712x = 434,691 × 434,691
  4. Step 4: Simplify right side
    199,712x = 188,956,265,481
  5. Step 5: Solve for x
    x = 188,956,265,481/199,712
  6. Step 6: Final answer
    x = 946,143.77

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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.