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Finding the Third Proportional to 790,625 and 1,733,613

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Solution

The third proportional to 790,625 and 1,733,613 is: 3,801,314.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    790,625 : 1,733,613 = 1,733,613 : x
  2. Step 2: Convert to fraction form
    790,625/1,733,613 = 1,733,613/x
  3. Step 3: Cross multiply
    790,625x = 1,733,613 × 1,733,613
  4. Step 4: Simplify right side
    790,625x = 3,005,414,033,769
  5. Step 5: Solve for x
    x = 3,005,414,033,769/790,625
  6. Step 6: Final answer
    x = 3,801,314.19

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.