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Finding the Third Proportional to 318,740.06 and 693,557.44

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Solution

The third proportional to 318,740.06 and 693,557.44 is: 1,509,135.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,740.06 : 693,557.44 = 693,557.44 : x
  2. Step 2: Convert to fraction form
    318,740.06/693,557.44 = 693,557.44/x
  3. Step 3: Cross multiply
    318,740.06x = 693,557.44 × 693,557.44
  4. Step 4: Simplify right side
    318,740.06x = 481,021,919,111.57
  5. Step 5: Solve for x
    x = 481,021,919,111.57/318,740.06
  6. Step 6: Final answer
    x = 1,509,135.42

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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.