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Finding the Third Proportional to 190,028 and 409,216

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Solution

The third proportional to 190,028 and 409,216 is: 881,226.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,028 : 409,216 = 409,216 : x
  2. Step 2: Convert to fraction form
    190,028/409,216 = 409,216/x
  3. Step 3: Cross multiply
    190,028x = 409,216 × 409,216
  4. Step 4: Simplify right side
    190,028x = 167,457,734,656
  5. Step 5: Solve for x
    x = 167,457,734,656/190,028
  6. Step 6: Final answer
    x = 881,226.63

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.