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Finding the Third Proportional to 68,580 and 142,992

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Solution

The third proportional to 68,580 and 142,992 is: 298,143.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,580 : 142,992 = 142,992 : x
  2. Step 2: Convert to fraction form
    68,580/142,992 = 142,992/x
  3. Step 3: Cross multiply
    68,580x = 142,992 × 142,992
  4. Step 4: Simplify right side
    68,580x = 20,446,712,064
  5. Step 5: Solve for x
    x = 20,446,712,064/68,580
  6. Step 6: Final answer
    x = 298,143.95

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.