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Finding the Third Proportional to 715,169 and 1,515,631

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Solution

The third proportional to 715,169 and 1,515,631 is: 3,212,020.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    715,169 : 1,515,631 = 1,515,631 : x
  2. Step 2: Convert to fraction form
    715,169/1,515,631 = 1,515,631/x
  3. Step 3: Cross multiply
    715,169x = 1,515,631 × 1,515,631
  4. Step 4: Simplify right side
    715,169x = 2,297,137,328,161
  5. Step 5: Solve for x
    x = 2,297,137,328,161/715,169
  6. Step 6: Final answer
    x = 3,212,020.28

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.