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Finding the Third Proportional to 318,093 and 693,342

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Solution

The third proportional to 318,093 and 693,342 is: 1,511,265.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,093 : 693,342 = 693,342 : x
  2. Step 2: Convert to fraction form
    318,093/693,342 = 693,342/x
  3. Step 3: Cross multiply
    318,093x = 693,342 × 693,342
  4. Step 4: Simplify right side
    318,093x = 480,723,128,964
  5. Step 5: Solve for x
    x = 480,723,128,964/318,093
  6. Step 6: Final answer
    x = 1,511,265.98

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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.