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Finding the Third Proportional to 100,920 and 214,584

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Solution

The third proportional to 100,920 and 214,584 is: 456,265.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,920 : 214,584 = 214,584 : x
  2. Step 2: Convert to fraction form
    100,920/214,584 = 214,584/x
  3. Step 3: Cross multiply
    100,920x = 214,584 × 214,584
  4. Step 4: Simplify right side
    100,920x = 46,046,293,056
  5. Step 5: Solve for x
    x = 46,046,293,056/100,920
  6. Step 6: Final answer
    x = 456,265.29

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.