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Finding the Third Proportional to 99,949.50 and 214,720.50

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Solution

The third proportional to 99,949.50 and 214,720.50 is: 461,281.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,949.50 : 214,720.50 = 214,720.50 : x
  2. Step 2: Convert to fraction form
    99,949.50/214,720.50 = 214,720.50/x
  3. Step 3: Cross multiply
    99,949.50x = 214,720.50 × 214,720.50
  4. Step 4: Simplify right side
    99,949.50x = 46,104,893,120.25
  5. Step 5: Solve for x
    x = 46,104,893,120.25/99,949.50
  6. Step 6: Final answer
    x = 461,281.88

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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.