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Finding the Third Proportional to 320,245 and 693,083

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Solution

The third proportional to 320,245 and 693,083 is: 1,499,989.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,245 : 693,083 = 693,083 : x
  2. Step 2: Convert to fraction form
    320,245/693,083 = 693,083/x
  3. Step 3: Cross multiply
    320,245x = 693,083 × 693,083
  4. Step 4: Simplify right side
    320,245x = 480,364,044,889
  5. Step 5: Solve for x
    x = 480,364,044,889/320,245
  6. Step 6: Final answer
    x = 1,499,989.21

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.