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Finding the Third Proportional to 76,803 and 120,220.50

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Solution

The third proportional to 76,803 and 120,220.50 is: 188,182.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,803 : 120,220.50 = 120,220.50 : x
  2. Step 2: Convert to fraction form
    76,803/120,220.50 = 120,220.50/x
  3. Step 3: Cross multiply
    76,803x = 120,220.50 × 120,220.50
  4. Step 4: Simplify right side
    76,803x = 14,452,968,620.25
  5. Step 5: Solve for x
    x = 14,452,968,620.25/76,803
  6. Step 6: Final answer
    x = 188,182.34

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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.