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Finding the Third Proportional to 193,666 and 425,672

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Solution

The third proportional to 193,666 and 425,672 is: 935,614.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,666 : 425,672 = 425,672 : x
  2. Step 2: Convert to fraction form
    193,666/425,672 = 425,672/x
  3. Step 3: Cross multiply
    193,666x = 425,672 × 425,672
  4. Step 4: Simplify right side
    193,666x = 181,196,651,584
  5. Step 5: Solve for x
    x = 181,196,651,584/193,666
  6. Step 6: Final answer
    x = 935,614.16

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.