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Finding the Third Proportional to 354,779 and 518,964

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Solution

The third proportional to 354,779 and 518,964 is: 759,130.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,779 : 518,964 = 518,964 : x
  2. Step 2: Convert to fraction form
    354,779/518,964 = 518,964/x
  3. Step 3: Cross multiply
    354,779x = 518,964 × 518,964
  4. Step 4: Simplify right side
    354,779x = 269,323,633,296
  5. Step 5: Solve for x
    x = 269,323,633,296/354,779
  6. Step 6: Final answer
    x = 759,130.71

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.