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Finding the Third Proportional to 283,716 and 419,964

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Solution

The third proportional to 283,716 and 419,964 is: 621,641.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,716 : 419,964 = 419,964 : x
  2. Step 2: Convert to fraction form
    283,716/419,964 = 419,964/x
  3. Step 3: Cross multiply
    283,716x = 419,964 × 419,964
  4. Step 4: Simplify right side
    283,716x = 176,369,761,296
  5. Step 5: Solve for x
    x = 176,369,761,296/283,716
  6. Step 6: Final answer
    x = 621,641.93

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.