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Finding the Third Proportional to 318,106.50 and 693,369

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Solution

The third proportional to 318,106.50 and 693,369 is: 1,511,319.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,106.50 : 693,369 = 693,369 : x
  2. Step 2: Convert to fraction form
    318,106.50/693,369 = 693,369/x
  3. Step 3: Cross multiply
    318,106.50x = 693,369 × 693,369
  4. Step 4: Simplify right side
    318,106.50x = 480,760,570,161
  5. Step 5: Solve for x
    x = 480,760,570,161/318,106.50
  6. Step 6: Final answer
    x = 1,511,319.54

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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.