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Finding the Third Proportional to 74,120 and 109,220

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Solution

The third proportional to 74,120 and 109,220 is: 160,941.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,120 : 109,220 = 109,220 : x
  2. Step 2: Convert to fraction form
    74,120/109,220 = 109,220/x
  3. Step 3: Cross multiply
    74,120x = 109,220 × 109,220
  4. Step 4: Simplify right side
    74,120x = 11,929,008,400
  5. Step 5: Solve for x
    x = 11,929,008,400/74,120
  6. Step 6: Final answer
    x = 160,941.83

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.