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Finding the Third Proportional to 258,233.06 and 377,439.75

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Solution

The third proportional to 258,233.06 and 377,439.75 is: 551,675.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,233.06 : 377,439.75 = 377,439.75 : x
  2. Step 2: Convert to fraction form
    258,233.06/377,439.75 = 377,439.75/x
  3. Step 3: Cross multiply
    258,233.06x = 377,439.75 × 377,439.75
  4. Step 4: Simplify right side
    258,233.06x = 142,460,764,880.06
  5. Step 5: Solve for x
    x = 142,460,764,880.06/258,233.06
  6. Step 6: Final answer
    x = 551,675.16

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.