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Finding the Third Proportional to 72,810 and 159,643

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Solution

The third proportional to 72,810 and 159,643 is: 350,032.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,810 : 159,643 = 159,643 : x
  2. Step 2: Convert to fraction form
    72,810/159,643 = 159,643/x
  3. Step 3: Cross multiply
    72,810x = 159,643 × 159,643
  4. Step 4: Simplify right side
    72,810x = 25,485,887,449
  5. Step 5: Solve for x
    x = 25,485,887,449/72,810
  6. Step 6: Final answer
    x = 350,032.79

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.