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Finding the Third Proportional to 98,255 and 210,530

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Solution

The third proportional to 98,255 and 210,530 is: 451,100.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,255 : 210,530 = 210,530 : x
  2. Step 2: Convert to fraction form
    98,255/210,530 = 210,530/x
  3. Step 3: Cross multiply
    98,255x = 210,530 × 210,530
  4. Step 4: Simplify right side
    98,255x = 44,322,880,900
  5. Step 5: Solve for x
    x = 44,322,880,900/98,255
  6. Step 6: Final answer
    x = 451,100.51

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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.