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Finding the Third Proportional to 254,978 and 560,292

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Solution

The third proportional to 254,978 and 560,292 is: 1,231,192.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,978 : 560,292 = 560,292 : x
  2. Step 2: Convert to fraction form
    254,978/560,292 = 560,292/x
  3. Step 3: Cross multiply
    254,978x = 560,292 × 560,292
  4. Step 4: Simplify right side
    254,978x = 313,927,125,264
  5. Step 5: Solve for x
    x = 313,927,125,264/254,978
  6. Step 6: Final answer
    x = 1,231,192.99

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