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Finding the Third Proportional to 424,182 and 913,380

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Solution

The third proportional to 424,182 and 913,380 is: 1,966,757.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,182 : 913,380 = 913,380 : x
  2. Step 2: Convert to fraction form
    424,182/913,380 = 913,380/x
  3. Step 3: Cross multiply
    424,182x = 913,380 × 913,380
  4. Step 4: Simplify right side
    424,182x = 834,263,024,400
  5. Step 5: Solve for x
    x = 834,263,024,400/424,182
  6. Step 6: Final answer
    x = 1,966,757.25

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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.