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Finding the Third Proportional to 178,294.50 and 388,575

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Solution

The third proportional to 178,294.50 and 388,575 is: 846,860.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,294.50 : 388,575 = 388,575 : x
  2. Step 2: Convert to fraction form
    178,294.50/388,575 = 388,575/x
  3. Step 3: Cross multiply
    178,294.50x = 388,575 × 388,575
  4. Step 4: Simplify right side
    178,294.50x = 150,990,530,625
  5. Step 5: Solve for x
    x = 150,990,530,625/178,294.50
  6. Step 6: Final answer
    x = 846,860.28

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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.