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Finding the Third Proportional to 4,905 and 10,619.44

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Solution

The third proportional to 4,905 and 10,619.44 is: 22,991.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,905 : 10,619.44 = 10,619.44 : x
  2. Step 2: Convert to fraction form
    4,905/10,619.44 = 10,619.44/x
  3. Step 3: Cross multiply
    4,905x = 10,619.44 × 10,619.44
  4. Step 4: Simplify right side
    4,905x = 112,772,452.82
  5. Step 5: Solve for x
    x = 112,772,452.82/4,905
  6. Step 6: Final answer
    x = 22,991.33

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.