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Finding the Third Proportional to 68,159.81 and 139,625.44

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Solution

The third proportional to 68,159.81 and 139,625.44 is: 286,022.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,159.81 : 139,625.44 = 139,625.44 : x
  2. Step 2: Convert to fraction form
    68,159.81/139,625.44 = 139,625.44/x
  3. Step 3: Cross multiply
    68,159.81x = 139,625.44 × 139,625.44
  4. Step 4: Simplify right side
    68,159.81x = 19,495,262,797.07
  5. Step 5: Solve for x
    x = 19,495,262,797.07/68,159.81
  6. Step 6: Final answer
    x = 286,022.83

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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.