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Finding the Third Proportional to 173,280.75 and 257,379.75

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Solution

The third proportional to 173,280.75 and 257,379.75 is: 382,294.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,280.75 : 257,379.75 = 257,379.75 : x
  2. Step 2: Convert to fraction form
    173,280.75/257,379.75 = 257,379.75/x
  3. Step 3: Cross multiply
    173,280.75x = 257,379.75 × 257,379.75
  4. Step 4: Simplify right side
    173,280.75x = 66,244,335,710.06
  5. Step 5: Solve for x
    x = 66,244,335,710.06/173,280.75
  6. Step 6: Final answer
    x = 382,294.83

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.