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Finding the Third Proportional to 424,181 and 913,378

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Solution

The third proportional to 424,181 and 913,378 is: 1,966,753.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,181 : 913,378 = 913,378 : x
  2. Step 2: Convert to fraction form
    424,181/913,378 = 913,378/x
  3. Step 3: Cross multiply
    424,181x = 913,378 × 913,378
  4. Step 4: Simplify right side
    424,181x = 834,259,370,884
  5. Step 5: Solve for x
    x = 834,259,370,884/424,181
  6. Step 6: Final answer
    x = 1,966,753.27

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.