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Finding the Third Proportional to 199,570 and 426,812

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Solution

The third proportional to 199,570 and 426,812 is: 912,804.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,570 : 426,812 = 426,812 : x
  2. Step 2: Convert to fraction form
    199,570/426,812 = 426,812/x
  3. Step 3: Cross multiply
    199,570x = 426,812 × 426,812
  4. Step 4: Simplify right side
    199,570x = 182,168,483,344
  5. Step 5: Solve for x
    x = 182,168,483,344/199,570
  6. Step 6: Final answer
    x = 912,804.95

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.