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Finding the Third Proportional to 98,757 and 210,636

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Solution

The third proportional to 98,757 and 210,636 is: 449,259.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,757 : 210,636 = 210,636 : x
  2. Step 2: Convert to fraction form
    98,757/210,636 = 210,636/x
  3. Step 3: Cross multiply
    98,757x = 210,636 × 210,636
  4. Step 4: Simplify right side
    98,757x = 44,367,524,496
  5. Step 5: Solve for x
    x = 44,367,524,496/98,757
  6. Step 6: Final answer
    x = 449,259.54

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.