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Finding the Third Proportional to 469,960 and 669,948

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Solution

The third proportional to 469,960 and 669,948 is: 955,039.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,960 : 669,948 = 669,948 : x
  2. Step 2: Convert to fraction form
    469,960/669,948 = 669,948/x
  3. Step 3: Cross multiply
    469,960x = 669,948 × 669,948
  4. Step 4: Simplify right side
    469,960x = 448,830,322,704
  5. Step 5: Solve for x
    x = 448,830,322,704/469,960
  6. Step 6: Final answer
    x = 955,039.41

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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.