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Finding the Third Proportional to 68,148.84 and 139,698.42

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Solution

The third proportional to 68,148.84 and 139,698.42 is: 286,368.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,148.84 : 139,698.42 = 139,698.42 : x
  2. Step 2: Convert to fraction form
    68,148.84/139,698.42 = 139,698.42/x
  3. Step 3: Cross multiply
    68,148.84x = 139,698.42 × 139,698.42
  4. Step 4: Simplify right side
    68,148.84x = 19,515,649,074.37
  5. Step 5: Solve for x
    x = 19,515,649,074.37/68,148.84
  6. Step 6: Final answer
    x = 286,368.01

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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.