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Finding the Third Proportional to 199,906 and 429,454

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Solution

The third proportional to 199,906 and 429,454 is: 922,587.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,906 : 429,454 = 429,454 : x
  2. Step 2: Convert to fraction form
    199,906/429,454 = 429,454/x
  3. Step 3: Cross multiply
    199,906x = 429,454 × 429,454
  4. Step 4: Simplify right side
    199,906x = 184,430,738,116
  5. Step 5: Solve for x
    x = 184,430,738,116/199,906
  6. Step 6: Final answer
    x = 922,587.31

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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.