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Finding the Third Proportional to 387,773 and 582,069

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Solution

The third proportional to 387,773 and 582,069 is: 873,718.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,773 : 582,069 = 582,069 : x
  2. Step 2: Convert to fraction form
    387,773/582,069 = 582,069/x
  3. Step 3: Cross multiply
    387,773x = 582,069 × 582,069
  4. Step 4: Simplify right side
    387,773x = 338,804,320,761
  5. Step 5: Solve for x
    x = 338,804,320,761/387,773
  6. Step 6: Final answer
    x = 873,718.18

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.