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Finding the Third Proportional to 258,376.50 and 554,121

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Solution

The third proportional to 258,376.50 and 554,121 is: 1,188,382.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,376.50 : 554,121 = 554,121 : x
  2. Step 2: Convert to fraction form
    258,376.50/554,121 = 554,121/x
  3. Step 3: Cross multiply
    258,376.50x = 554,121 × 554,121
  4. Step 4: Simplify right side
    258,376.50x = 307,050,082,641
  5. Step 5: Solve for x
    x = 307,050,082,641/258,376.50
  6. Step 6: Final answer
    x = 1,188,382.39

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.