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Finding the Third Proportional to 68,173.88 and 139,651.88

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Solution

The third proportional to 68,173.88 and 139,651.88 is: 286,072.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,173.88 : 139,651.88 = 139,651.88 : x
  2. Step 2: Convert to fraction form
    68,173.88/139,651.88 = 139,651.88/x
  3. Step 3: Cross multiply
    68,173.88x = 139,651.88 × 139,651.88
  4. Step 4: Simplify right side
    68,173.88x = 19,502,646,191.02
  5. Step 5: Solve for x
    x = 19,502,646,191.02/68,173.88
  6. Step 6: Final answer
    x = 286,072.14

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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.