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Finding the Third Proportional to 286,583 and 622,920

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Solution

The third proportional to 286,583 and 622,920 is: 1,353,985.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,583 : 622,920 = 622,920 : x
  2. Step 2: Convert to fraction form
    286,583/622,920 = 622,920/x
  3. Step 3: Cross multiply
    286,583x = 622,920 × 622,920
  4. Step 4: Simplify right side
    286,583x = 388,029,326,400
  5. Step 5: Solve for x
    x = 388,029,326,400/286,583
  6. Step 6: Final answer
    x = 1,353,985.85

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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.