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Finding the Third Proportional to 38,220 and 79,140

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Solution

The third proportional to 38,220 and 79,140 is: 163,870.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,220 : 79,140 = 79,140 : x
  2. Step 2: Convert to fraction form
    38,220/79,140 = 79,140/x
  3. Step 3: Cross multiply
    38,220x = 79,140 × 79,140
  4. Step 4: Simplify right side
    38,220x = 6,263,139,600
  5. Step 5: Solve for x
    x = 6,263,139,600/38,220
  6. Step 6: Final answer
    x = 163,870.74

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.