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Finding the Third Proportional to 76,820 and 120,240

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Solution

The third proportional to 76,820 and 120,240 is: 188,201.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,820 : 120,240 = 120,240 : x
  2. Step 2: Convert to fraction form
    76,820/120,240 = 120,240/x
  3. Step 3: Cross multiply
    76,820x = 120,240 × 120,240
  4. Step 4: Simplify right side
    76,820x = 14,457,657,600
  5. Step 5: Solve for x
    x = 14,457,657,600/76,820
  6. Step 6: Final answer
    x = 188,201.74

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.