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Finding the Third Proportional to 45,533 and 71,276

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Solution

The third proportional to 45,533 and 71,276 is: 111,573.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,533 : 71,276 = 71,276 : x
  2. Step 2: Convert to fraction form
    45,533/71,276 = 71,276/x
  3. Step 3: Cross multiply
    45,533x = 71,276 × 71,276
  4. Step 4: Simplify right side
    45,533x = 5,080,268,176
  5. Step 5: Solve for x
    x = 5,080,268,176/45,533
  6. Step 6: Final answer
    x = 111,573.32

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.