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Finding the Third Proportional to 290,538 and 632,538

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Solution

The third proportional to 290,538 and 632,538 is: 1,377,115.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,538 : 632,538 = 632,538 : x
  2. Step 2: Convert to fraction form
    290,538/632,538 = 632,538/x
  3. Step 3: Cross multiply
    290,538x = 632,538 × 632,538
  4. Step 4: Simplify right side
    290,538x = 400,104,321,444
  5. Step 5: Solve for x
    x = 400,104,321,444/290,538
  6. Step 6: Final answer
    x = 1,377,115.29

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.