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Finding the Third Proportional to 342,628 and 545,622

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Solution

The third proportional to 342,628 and 545,622 is: 868,882.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,628 : 545,622 = 545,622 : x
  2. Step 2: Convert to fraction form
    342,628/545,622 = 545,622/x
  3. Step 3: Cross multiply
    342,628x = 545,622 × 545,622
  4. Step 4: Simplify right side
    342,628x = 297,703,366,884
  5. Step 5: Solve for x
    x = 297,703,366,884/342,628
  6. Step 6: Final answer
    x = 868,882.19

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.