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Finding the Third Proportional to 15,779 and 34,018

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Solution

The third proportional to 15,779 and 34,018 is: 73,339.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,779 : 34,018 = 34,018 : x
  2. Step 2: Convert to fraction form
    15,779/34,018 = 34,018/x
  3. Step 3: Cross multiply
    15,779x = 34,018 × 34,018
  4. Step 4: Simplify right side
    15,779x = 1,157,224,324
  5. Step 5: Solve for x
    x = 1,157,224,324/15,779
  6. Step 6: Final answer
    x = 73,339.52

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.