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Finding the Third Proportional to 122,368 and 165,120

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Solution

The third proportional to 122,368 and 165,120 is: 222,808.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,368 : 165,120 = 165,120 : x
  2. Step 2: Convert to fraction form
    122,368/165,120 = 165,120/x
  3. Step 3: Cross multiply
    122,368x = 165,120 × 165,120
  4. Step 4: Simplify right side
    122,368x = 27,264,614,400
  5. Step 5: Solve for x
    x = 27,264,614,400/122,368
  6. Step 6: Final answer
    x = 222,808.37

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.