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Finding the Third Proportional to 306,888 and 669,558

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Solution

The third proportional to 306,888 and 669,558 is: 1,460,819.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,888 : 669,558 = 669,558 : x
  2. Step 2: Convert to fraction form
    306,888/669,558 = 669,558/x
  3. Step 3: Cross multiply
    306,888x = 669,558 × 669,558
  4. Step 4: Simplify right side
    306,888x = 448,307,915,364
  5. Step 5: Solve for x
    x = 448,307,915,364/306,888
  6. Step 6: Final answer
    x = 1,460,819.31

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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.