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Finding the Third Proportional to 469,954 and 669,939

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Solution

The third proportional to 469,954 and 669,939 is: 955,025.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,954 : 669,939 = 669,939 : x
  2. Step 2: Convert to fraction form
    469,954/669,939 = 669,939/x
  3. Step 3: Cross multiply
    469,954x = 669,939 × 669,939
  4. Step 4: Simplify right side
    469,954x = 448,818,263,721
  5. Step 5: Solve for x
    x = 448,818,263,721/469,954
  6. Step 6: Final answer
    x = 955,025.95

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.