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Finding the Third Proportional to 19,674 and 28,779

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Solution

The third proportional to 19,674 and 28,779 is: 42,097.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,674 : 28,779 = 28,779 : x
  2. Step 2: Convert to fraction form
    19,674/28,779 = 28,779/x
  3. Step 3: Cross multiply
    19,674x = 28,779 × 28,779
  4. Step 4: Simplify right side
    19,674x = 828,230,841
  5. Step 5: Solve for x
    x = 828,230,841/19,674
  6. Step 6: Final answer
    x = 42,097.74

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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.