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Finding the Third Proportional to 287,613 and 622,823

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Solution

The third proportional to 287,613 and 622,823 is: 1,348,716.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,613 : 622,823 = 622,823 : x
  2. Step 2: Convert to fraction form
    287,613/622,823 = 622,823/x
  3. Step 3: Cross multiply
    287,613x = 622,823 × 622,823
  4. Step 4: Simplify right side
    287,613x = 387,908,489,329
  5. Step 5: Solve for x
    x = 387,908,489,329/287,613
  6. Step 6: Final answer
    x = 1,348,716.82

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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.