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Finding the Third Proportional to 112,920 and 165,138

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Solution

The third proportional to 112,920 and 165,138 is: 241,503.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,920 : 165,138 = 165,138 : x
  2. Step 2: Convert to fraction form
    112,920/165,138 = 165,138/x
  3. Step 3: Cross multiply
    112,920x = 165,138 × 165,138
  4. Step 4: Simplify right side
    112,920x = 27,270,559,044
  5. Step 5: Solve for x
    x = 27,270,559,044/112,920
  6. Step 6: Final answer
    x = 241,503.36

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.