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Finding the Third Proportional to 308,268 and 461,148.75

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Solution

The third proportional to 308,268 and 461,148.75 is: 689,848.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,268 : 461,148.75 = 461,148.75 : x
  2. Step 2: Convert to fraction form
    308,268/461,148.75 = 461,148.75/x
  3. Step 3: Cross multiply
    308,268x = 461,148.75 × 461,148.75
  4. Step 4: Simplify right side
    308,268x = 212,658,169,626.56
  5. Step 5: Solve for x
    x = 212,658,169,626.56/308,268
  6. Step 6: Final answer
    x = 689,848.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.