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Finding the Third Proportional to 71,136 and 103,779

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Solution

The third proportional to 71,136 and 103,779 is: 151,401.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,136 : 103,779 = 103,779 : x
  2. Step 2: Convert to fraction form
    71,136/103,779 = 103,779/x
  3. Step 3: Cross multiply
    71,136x = 103,779 × 103,779
  4. Step 4: Simplify right side
    71,136x = 10,770,080,841
  5. Step 5: Solve for x
    x = 10,770,080,841/71,136
  6. Step 6: Final answer
    x = 151,401.27

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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.