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Finding the Third Proportional to 66,556.50 and 144,777

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Solution

The third proportional to 66,556.50 and 144,777 is: 314,926.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,556.50 : 144,777 = 144,777 : x
  2. Step 2: Convert to fraction form
    66,556.50/144,777 = 144,777/x
  3. Step 3: Cross multiply
    66,556.50x = 144,777 × 144,777
  4. Step 4: Simplify right side
    66,556.50x = 20,960,379,729
  5. Step 5: Solve for x
    x = 20,960,379,729/66,556.50
  6. Step 6: Final answer
    x = 314,926.11

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.