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Finding the Third Proportional to 199,121 and 429,939

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Solution

The third proportional to 199,121 and 429,939 is: 928,317.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,121 : 429,939 = 429,939 : x
  2. Step 2: Convert to fraction form
    199,121/429,939 = 429,939/x
  3. Step 3: Cross multiply
    199,121x = 429,939 × 429,939
  4. Step 4: Simplify right side
    199,121x = 184,847,543,721
  5. Step 5: Solve for x
    x = 184,847,543,721/199,121
  6. Step 6: Final answer
    x = 928,317.67

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.