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Finding the Third Proportional to 68,860.50 and 145,986.75

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Solution

The third proportional to 68,860.50 and 145,986.75 is: 309,497.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,860.50 : 145,986.75 = 145,986.75 : x
  2. Step 2: Convert to fraction form
    68,860.50/145,986.75 = 145,986.75/x
  3. Step 3: Cross multiply
    68,860.50x = 145,986.75 × 145,986.75
  4. Step 4: Simplify right side
    68,860.50x = 21,312,131,175.56
  5. Step 5: Solve for x
    x = 21,312,131,175.56/68,860.50
  6. Step 6: Final answer
    x = 309,497.19

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.