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Finding the Third Proportional to 199,730 and 421,996

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Solution

The third proportional to 199,730 and 421,996 is: 891,606.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,730 : 421,996 = 421,996 : x
  2. Step 2: Convert to fraction form
    199,730/421,996 = 421,996/x
  3. Step 3: Cross multiply
    199,730x = 421,996 × 421,996
  4. Step 4: Simplify right side
    199,730x = 178,080,624,016
  5. Step 5: Solve for x
    x = 178,080,624,016/199,730
  6. Step 6: Final answer
    x = 891,606.79

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.