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Finding the Third Proportional to 76,968 and 120,312

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Solution

The third proportional to 76,968 and 120,312 is: 188,064.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,968 : 120,312 = 120,312 : x
  2. Step 2: Convert to fraction form
    76,968/120,312 = 120,312/x
  3. Step 3: Cross multiply
    76,968x = 120,312 × 120,312
  4. Step 4: Simplify right side
    76,968x = 14,474,977,344
  5. Step 5: Solve for x
    x = 14,474,977,344/76,968
  6. Step 6: Final answer
    x = 188,064.88

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.