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Finding the Third Proportional to 30,908.25 and 63,285.75

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Solution

The third proportional to 30,908.25 and 63,285.75 is: 129,579.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,908.25 : 63,285.75 = 63,285.75 : x
  2. Step 2: Convert to fraction form
    30,908.25/63,285.75 = 63,285.75/x
  3. Step 3: Cross multiply
    30,908.25x = 63,285.75 × 63,285.75
  4. Step 4: Simplify right side
    30,908.25x = 4,005,086,153.06
  5. Step 5: Solve for x
    x = 4,005,086,153.06/30,908.25
  6. Step 6: Final answer
    x = 129,579.84

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.