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Finding the Third Proportional to 301,218 and 401,579

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Solution

The third proportional to 301,218 and 401,579 is: 535,378.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,218 : 401,579 = 401,579 : x
  2. Step 2: Convert to fraction form
    301,218/401,579 = 401,579/x
  3. Step 3: Cross multiply
    301,218x = 401,579 × 401,579
  4. Step 4: Simplify right side
    301,218x = 161,265,693,241
  5. Step 5: Solve for x
    x = 161,265,693,241/301,218
  6. Step 6: Final answer
    x = 535,378.67

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.