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Finding the Third Proportional to 99,810 and 145,992

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Solution

The third proportional to 99,810 and 145,992 is: 213,542.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,810 : 145,992 = 145,992 : x
  2. Step 2: Convert to fraction form
    99,810/145,992 = 145,992/x
  3. Step 3: Cross multiply
    99,810x = 145,992 × 145,992
  4. Step 4: Simplify right side
    99,810x = 21,313,664,064
  5. Step 5: Solve for x
    x = 21,313,664,064/99,810
  6. Step 6: Final answer
    x = 213,542.37

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.