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Finding the Third Proportional to 387,978 and 598,575

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Solution

The third proportional to 387,978 and 598,575 is: 923,485.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,978 : 598,575 = 598,575 : x
  2. Step 2: Convert to fraction form
    387,978/598,575 = 598,575/x
  3. Step 3: Cross multiply
    387,978x = 598,575 × 598,575
  4. Step 4: Simplify right side
    387,978x = 358,292,030,625
  5. Step 5: Solve for x
    x = 358,292,030,625/387,978
  6. Step 6: Final answer
    x = 923,485.43

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.