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Finding the Third Proportional to 99,810 and 143,485

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Solution

The third proportional to 99,810 and 143,485 is: 206,271.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,810 : 143,485 = 143,485 : x
  2. Step 2: Convert to fraction form
    99,810/143,485 = 143,485/x
  3. Step 3: Cross multiply
    99,810x = 143,485 × 143,485
  4. Step 4: Simplify right side
    99,810x = 20,587,945,225
  5. Step 5: Solve for x
    x = 20,587,945,225/99,810
  6. Step 6: Final answer
    x = 206,271.37

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.