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Finding the Third Proportional to 301,948 and 660,690

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Solution

The third proportional to 301,948 and 660,690 is: 1,445,650.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,948 : 660,690 = 660,690 : x
  2. Step 2: Convert to fraction form
    301,948/660,690 = 660,690/x
  3. Step 3: Cross multiply
    301,948x = 660,690 × 660,690
  4. Step 4: Simplify right side
    301,948x = 436,511,276,100
  5. Step 5: Solve for x
    x = 436,511,276,100/301,948
  6. Step 6: Final answer
    x = 1,445,650.50

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.