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Finding the Third Proportional to 103,512 and 221,779

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Solution

The third proportional to 103,512 and 221,779 is: 475,171.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,512 : 221,779 = 221,779 : x
  2. Step 2: Convert to fraction form
    103,512/221,779 = 221,779/x
  3. Step 3: Cross multiply
    103,512x = 221,779 × 221,779
  4. Step 4: Simplify right side
    103,512x = 49,185,924,841
  5. Step 5: Solve for x
    x = 49,185,924,841/103,512
  6. Step 6: Final answer
    x = 475,171.23

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.