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Finding the Third Proportional to 309.75 and 489.94

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Solution

The third proportional to 309.75 and 489.94 is: 774.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.75 : 489.94 = 489.94 : x
  2. Step 2: Convert to fraction form
    309.75/489.94 = 489.94/x
  3. Step 3: Cross multiply
    309.75x = 489.94 × 489.94
  4. Step 4: Simplify right side
    309.75x = 240,038.75
  5. Step 5: Solve for x
    x = 240,038.75/309.75
  6. Step 6: Final answer
    x = 774.94

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.