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Finding the Third Proportional to 308,892 and 670,098

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Solution

The third proportional to 308,892 and 670,098 is: 1,453,683.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,892 : 670,098 = 670,098 : x
  2. Step 2: Convert to fraction form
    308,892/670,098 = 670,098/x
  3. Step 3: Cross multiply
    308,892x = 670,098 × 670,098
  4. Step 4: Simplify right side
    308,892x = 449,031,329,604
  5. Step 5: Solve for x
    x = 449,031,329,604/308,892
  6. Step 6: Final answer
    x = 1,453,683.91

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.