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Finding the Third Proportional to 128,224 and 199,056

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Solution

The third proportional to 128,224 and 199,056 is: 309,016.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,224 : 199,056 = 199,056 : x
  2. Step 2: Convert to fraction form
    128,224/199,056 = 199,056/x
  3. Step 3: Cross multiply
    128,224x = 199,056 × 199,056
  4. Step 4: Simplify right side
    128,224x = 39,623,291,136
  5. Step 5: Solve for x
    x = 39,623,291,136/128,224
  6. Step 6: Final answer
    x = 309,016.18

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.