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Finding the Third Proportional to 98,546 and 211,852

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Solution

The third proportional to 98,546 and 211,852 is: 455,434.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,546 : 211,852 = 211,852 : x
  2. Step 2: Convert to fraction form
    98,546/211,852 = 211,852/x
  3. Step 3: Cross multiply
    98,546x = 211,852 × 211,852
  4. Step 4: Simplify right side
    98,546x = 44,881,269,904
  5. Step 5: Solve for x
    x = 44,881,269,904/98,546
  6. Step 6: Final answer
    x = 455,434.72

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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.