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Finding the Third Proportional to 199,031 and 420,526

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Solution

The third proportional to 199,031 and 420,526 is: 888,515.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,031 : 420,526 = 420,526 : x
  2. Step 2: Convert to fraction form
    199,031/420,526 = 420,526/x
  3. Step 3: Cross multiply
    199,031x = 420,526 × 420,526
  4. Step 4: Simplify right side
    199,031x = 176,842,116,676
  5. Step 5: Solve for x
    x = 176,842,116,676/199,031
  6. Step 6: Final answer
    x = 888,515.44

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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.