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Finding the Third Proportional to 352,578 and 775,140

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Solution

The third proportional to 352,578 and 775,140 is: 1,704,139.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,578 : 775,140 = 775,140 : x
  2. Step 2: Convert to fraction form
    352,578/775,140 = 775,140/x
  3. Step 3: Cross multiply
    352,578x = 775,140 × 775,140
  4. Step 4: Simplify right side
    352,578x = 600,842,019,600
  5. Step 5: Solve for x
    x = 600,842,019,600/352,578
  6. Step 6: Final answer
    x = 1,704,139.28

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.