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Finding the Third Proportional to 193,688 and 420,626

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Solution

The third proportional to 193,688 and 420,626 is: 913,459.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,688 : 420,626 = 420,626 : x
  2. Step 2: Convert to fraction form
    193,688/420,626 = 420,626/x
  3. Step 3: Cross multiply
    193,688x = 420,626 × 420,626
  4. Step 4: Simplify right side
    193,688x = 176,926,231,876
  5. Step 5: Solve for x
    x = 176,926,231,876/193,688
  6. Step 6: Final answer
    x = 913,459.96

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.