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Finding the Third Proportional to 77,803.50 and 128,268

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Solution

The third proportional to 77,803.50 and 128,268 is: 211,464.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,803.50 : 128,268 = 128,268 : x
  2. Step 2: Convert to fraction form
    77,803.50/128,268 = 128,268/x
  3. Step 3: Cross multiply
    77,803.50x = 128,268 × 128,268
  4. Step 4: Simplify right side
    77,803.50x = 16,452,679,824
  5. Step 5: Solve for x
    x = 16,452,679,824/77,803.50
  6. Step 6: Final answer
    x = 211,464.52

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.