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Finding the Third Proportional to 98,831 and 211,603

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Solution

The third proportional to 98,831 and 211,603 is: 453,054.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,831 : 211,603 = 211,603 : x
  2. Step 2: Convert to fraction form
    98,831/211,603 = 211,603/x
  3. Step 3: Cross multiply
    98,831x = 211,603 × 211,603
  4. Step 4: Simplify right side
    98,831x = 44,775,829,609
  5. Step 5: Solve for x
    x = 44,775,829,609/98,831
  6. Step 6: Final answer
    x = 453,054.50

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.