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Finding the Third Proportional to 68,172.89 and 139,728.80

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Solution

The third proportional to 68,172.89 and 139,728.80 is: 286,391.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,172.89 : 139,728.80 = 139,728.80 : x
  2. Step 2: Convert to fraction form
    68,172.89/139,728.80 = 139,728.80/x
  3. Step 3: Cross multiply
    68,172.89x = 139,728.80 × 139,728.80
  4. Step 4: Simplify right side
    68,172.89x = 19,524,136,676.14
  5. Step 5: Solve for x
    x = 19,524,136,676.14/68,172.89
  6. Step 6: Final answer
    x = 286,391.50

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.