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Finding the Third Proportional to 199,550 and 426,772

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Solution

The third proportional to 199,550 and 426,772 is: 912,725.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,550 : 426,772 = 426,772 : x
  2. Step 2: Convert to fraction form
    199,550/426,772 = 426,772/x
  3. Step 3: Cross multiply
    199,550x = 426,772 × 426,772
  4. Step 4: Simplify right side
    199,550x = 182,134,339,984
  5. Step 5: Solve for x
    x = 182,134,339,984/199,550
  6. Step 6: Final answer
    x = 912,725.33

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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.