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Finding the Third Proportional to 291,329.50 and 393,611

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Solution

The third proportional to 291,329.50 and 393,611 is: 531,802.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,329.50 : 393,611 = 393,611 : x
  2. Step 2: Convert to fraction form
    291,329.50/393,611 = 393,611/x
  3. Step 3: Cross multiply
    291,329.50x = 393,611 × 393,611
  4. Step 4: Simplify right side
    291,329.50x = 154,929,619,321
  5. Step 5: Solve for x
    x = 154,929,619,321/291,329.50
  6. Step 6: Final answer
    x = 531,802.03

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.