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Finding the Third Proportional to 44,678.25 and 54,310.50

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Solution

The third proportional to 44,678.25 and 54,310.50 is: 66,019.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,678.25 : 54,310.50 = 54,310.50 : x
  2. Step 2: Convert to fraction form
    44,678.25/54,310.50 = 54,310.50/x
  3. Step 3: Cross multiply
    44,678.25x = 54,310.50 × 54,310.50
  4. Step 4: Simplify right side
    44,678.25x = 2,949,630,410.25
  5. Step 5: Solve for x
    x = 2,949,630,410.25/44,678.25
  6. Step 6: Final answer
    x = 66,019.38

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.