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Finding the Third Proportional to 199,881 and 429,405

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Solution

The third proportional to 199,881 and 429,405 is: 922,492.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,881 : 429,405 = 429,405 : x
  2. Step 2: Convert to fraction form
    199,881/429,405 = 429,405/x
  3. Step 3: Cross multiply
    199,881x = 429,405 × 429,405
  4. Step 4: Simplify right side
    199,881x = 184,388,654,025
  5. Step 5: Solve for x
    x = 184,388,654,025/199,881
  6. Step 6: Final answer
    x = 922,492.15

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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.