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Finding the Third Proportional to 74,992 and 105,487

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Solution

The third proportional to 74,992 and 105,487 is: 148,382.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,992 : 105,487 = 105,487 : x
  2. Step 2: Convert to fraction form
    74,992/105,487 = 105,487/x
  3. Step 3: Cross multiply
    74,992x = 105,487 × 105,487
  4. Step 4: Simplify right side
    74,992x = 11,127,507,169
  5. Step 5: Solve for x
    x = 11,127,507,169/74,992
  6. Step 6: Final answer
    x = 148,382.59

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.