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Finding the Third Proportional to 753,625 and 1,638,146

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Solution

The third proportional to 753,625 and 1,638,146 is: 3,560,819.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    753,625 : 1,638,146 = 1,638,146 : x
  2. Step 2: Convert to fraction form
    753,625/1,638,146 = 1,638,146/x
  3. Step 3: Cross multiply
    753,625x = 1,638,146 × 1,638,146
  4. Step 4: Simplify right side
    753,625x = 2,683,522,317,316
  5. Step 5: Solve for x
    x = 2,683,522,317,316/753,625
  6. Step 6: Final answer
    x = 3,560,819.13

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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.