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Finding the Third Proportional to 74,940 and 112,905

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Solution

The third proportional to 74,940 and 112,905 is: 170,103.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,940 : 112,905 = 112,905 : x
  2. Step 2: Convert to fraction form
    74,940/112,905 = 112,905/x
  3. Step 3: Cross multiply
    74,940x = 112,905 × 112,905
  4. Step 4: Simplify right side
    74,940x = 12,747,539,025
  5. Step 5: Solve for x
    x = 12,747,539,025/74,940
  6. Step 6: Final answer
    x = 170,103.27

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.