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Finding the Third Proportional to 342,828 and 744,622

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Solution

The third proportional to 342,828 and 744,622 is: 1,617,318.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,828 : 744,622 = 744,622 : x
  2. Step 2: Convert to fraction form
    342,828/744,622 = 744,622/x
  3. Step 3: Cross multiply
    342,828x = 744,622 × 744,622
  4. Step 4: Simplify right side
    342,828x = 554,461,922,884
  5. Step 5: Solve for x
    x = 554,461,922,884/342,828
  6. Step 6: Final answer
    x = 1,617,318.08

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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.