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Finding the Third Proportional to 76,860 and 98,208

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Solution

The third proportional to 76,860 and 98,208 is: 125,485.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,860 : 98,208 = 98,208 : x
  2. Step 2: Convert to fraction form
    76,860/98,208 = 98,208/x
  3. Step 3: Cross multiply
    76,860x = 98,208 × 98,208
  4. Step 4: Simplify right side
    76,860x = 9,644,811,264
  5. Step 5: Solve for x
    x = 9,644,811,264/76,860
  6. Step 6: Final answer
    x = 125,485.44

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.