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Finding the Third Proportional to 98,463 and 210,936.50

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Solution

The third proportional to 98,463 and 210,936.50 is: 451,887.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,463 : 210,936.50 = 210,936.50 : x
  2. Step 2: Convert to fraction form
    98,463/210,936.50 = 210,936.50/x
  3. Step 3: Cross multiply
    98,463x = 210,936.50 × 210,936.50
  4. Step 4: Simplify right side
    98,463x = 44,494,207,032.25
  5. Step 5: Solve for x
    x = 44,494,207,032.25/98,463
  6. Step 6: Final answer
    x = 451,887.58

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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.