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Finding the Third Proportional to 239,978 and 525,154

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Solution

The third proportional to 239,978 and 525,154 is: 1,149,216.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,978 : 525,154 = 525,154 : x
  2. Step 2: Convert to fraction form
    239,978/525,154 = 525,154/x
  3. Step 3: Cross multiply
    239,978x = 525,154 × 525,154
  4. Step 4: Simplify right side
    239,978x = 275,786,723,716
  5. Step 5: Solve for x
    x = 275,786,723,716/239,978
  6. Step 6: Final answer
    x = 1,149,216.69

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.