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Finding the Third Proportional to 84,240 and 183,242

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Solution

The third proportional to 84,240 and 183,242 is: 398,594.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,240 : 183,242 = 183,242 : x
  2. Step 2: Convert to fraction form
    84,240/183,242 = 183,242/x
  3. Step 3: Cross multiply
    84,240x = 183,242 × 183,242
  4. Step 4: Simplify right side
    84,240x = 33,577,630,564
  5. Step 5: Solve for x
    x = 33,577,630,564/84,240
  6. Step 6: Final answer
    x = 398,594.85

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.