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Finding the Third Proportional to 104,533 and 140,457

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Solution

The third proportional to 104,533 and 140,457 is: 188,726.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,533 : 140,457 = 140,457 : x
  2. Step 2: Convert to fraction form
    104,533/140,457 = 140,457/x
  3. Step 3: Cross multiply
    104,533x = 140,457 × 140,457
  4. Step 4: Simplify right side
    104,533x = 19,728,168,849
  5. Step 5: Solve for x
    x = 19,728,168,849/104,533
  6. Step 6: Final answer
    x = 188,726.71

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.