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Finding the Third Proportional to 184,971 and 399,078

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Solution

The third proportional to 184,971 and 399,078 is: 861,017.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,971 : 399,078 = 399,078 : x
  2. Step 2: Convert to fraction form
    184,971/399,078 = 399,078/x
  3. Step 3: Cross multiply
    184,971x = 399,078 × 399,078
  4. Step 4: Simplify right side
    184,971x = 159,263,250,084
  5. Step 5: Solve for x
    x = 159,263,250,084/184,971
  6. Step 6: Final answer
    x = 861,017.40

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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.