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Finding the Third Proportional to 286,569 and 622,890

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Solution

The third proportional to 286,569 and 622,890 is: 1,353,921.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,569 : 622,890 = 622,890 : x
  2. Step 2: Convert to fraction form
    286,569/622,890 = 622,890/x
  3. Step 3: Cross multiply
    286,569x = 622,890 × 622,890
  4. Step 4: Simplify right side
    286,569x = 387,991,952,100
  5. Step 5: Solve for x
    x = 387,991,952,100/286,569
  6. Step 6: Final answer
    x = 1,353,921.58

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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.