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Finding the Third Proportional to 199,883 and 429,409

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Solution

The third proportional to 199,883 and 429,409 is: 922,500.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,883 : 429,409 = 429,409 : x
  2. Step 2: Convert to fraction form
    199,883/429,409 = 429,409/x
  3. Step 3: Cross multiply
    199,883x = 429,409 × 429,409
  4. Step 4: Simplify right side
    199,883x = 184,392,089,281
  5. Step 5: Solve for x
    x = 184,392,089,281/199,883
  6. Step 6: Final answer
    x = 922,500.11

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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.