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Finding the Third Proportional to 305,586 and 458,955

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Solution

The third proportional to 305,586 and 458,955 is: 689,297.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,586 : 458,955 = 458,955 : x
  2. Step 2: Convert to fraction form
    305,586/458,955 = 458,955/x
  3. Step 3: Cross multiply
    305,586x = 458,955 × 458,955
  4. Step 4: Simplify right side
    305,586x = 210,639,692,025
  5. Step 5: Solve for x
    x = 210,639,692,025/305,586
  6. Step 6: Final answer
    x = 689,297.59

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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.