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Finding the Third Proportional to 99,660 and 214,972.50

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Solution

The third proportional to 99,660 and 214,972.50 is: 463,708.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,660 : 214,972.50 = 214,972.50 : x
  2. Step 2: Convert to fraction form
    99,660/214,972.50 = 214,972.50/x
  3. Step 3: Cross multiply
    99,660x = 214,972.50 × 214,972.50
  4. Step 4: Simplify right side
    99,660x = 46,213,175,756.25
  5. Step 5: Solve for x
    x = 46,213,175,756.25/99,660
  6. Step 6: Final answer
    x = 463,708.37

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.