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Finding the Third Proportional to 85,720 and 184,316

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Solution

The third proportional to 85,720 and 184,316 is: 396,318.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,720 : 184,316 = 184,316 : x
  2. Step 2: Convert to fraction form
    85,720/184,316 = 184,316/x
  3. Step 3: Cross multiply
    85,720x = 184,316 × 184,316
  4. Step 4: Simplify right side
    85,720x = 33,972,387,856
  5. Step 5: Solve for x
    x = 33,972,387,856/85,720
  6. Step 6: Final answer
    x = 396,318.10

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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.