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Finding the Third Proportional to 4,612.63 and 9,553.44

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Solution

The third proportional to 4,612.63 and 9,553.44 is: 19,786.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,612.63 : 9,553.44 = 9,553.44 : x
  2. Step 2: Convert to fraction form
    4,612.63/9,553.44 = 9,553.44/x
  3. Step 3: Cross multiply
    4,612.63x = 9,553.44 × 9,553.44
  4. Step 4: Simplify right side
    4,612.63x = 91,268,168.07
  5. Step 5: Solve for x
    x = 91,268,168.07/4,612.63
  6. Step 6: Final answer
    x = 19,786.60

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.