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Finding the Third Proportional to 345,603 and 757,635

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Solution

The third proportional to 345,603 and 757,635 is: 1,660,896.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,603 : 757,635 = 757,635 : x
  2. Step 2: Convert to fraction form
    345,603/757,635 = 757,635/x
  3. Step 3: Cross multiply
    345,603x = 757,635 × 757,635
  4. Step 4: Simplify right side
    345,603x = 574,010,793,225
  5. Step 5: Solve for x
    x = 574,010,793,225/345,603
  6. Step 6: Final answer
    x = 1,660,896.44

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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.