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Finding the Third Proportional to 258,978 and 563,532

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Solution

The third proportional to 258,978 and 563,532 is: 1,226,236.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,978 : 563,532 = 563,532 : x
  2. Step 2: Convert to fraction form
    258,978/563,532 = 563,532/x
  3. Step 3: Cross multiply
    258,978x = 563,532 × 563,532
  4. Step 4: Simplify right side
    258,978x = 317,568,315,024
  5. Step 5: Solve for x
    x = 317,568,315,024/258,978
  6. Step 6: Final answer
    x = 1,226,236.65

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.