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Finding the Third Proportional to 257,978 and 371,586

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Solution

The third proportional to 257,978 and 371,586 is: 535,224.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,978 : 371,586 = 371,586 : x
  2. Step 2: Convert to fraction form
    257,978/371,586 = 371,586/x
  3. Step 3: Cross multiply
    257,978x = 371,586 × 371,586
  4. Step 4: Simplify right side
    257,978x = 138,076,155,396
  5. Step 5: Solve for x
    x = 138,076,155,396/257,978
  6. Step 6: Final answer
    x = 535,224.54

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.