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Finding the Third Proportional to 184,710 and 398,890

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Solution

The third proportional to 184,710 and 398,890 is: 861,421.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,710 : 398,890 = 398,890 : x
  2. Step 2: Convert to fraction form
    184,710/398,890 = 398,890/x
  3. Step 3: Cross multiply
    184,710x = 398,890 × 398,890
  4. Step 4: Simplify right side
    184,710x = 159,113,232,100
  5. Step 5: Solve for x
    x = 159,113,232,100/184,710
  6. Step 6: Final answer
    x = 861,421.86

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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.