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Finding the Third Proportional to 121,531 and 190,212

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Solution

The third proportional to 121,531 and 190,212 is: 297,706.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,531 : 190,212 = 190,212 : x
  2. Step 2: Convert to fraction form
    121,531/190,212 = 190,212/x
  3. Step 3: Cross multiply
    121,531x = 190,212 × 190,212
  4. Step 4: Simplify right side
    121,531x = 36,180,604,944
  5. Step 5: Solve for x
    x = 36,180,604,944/121,531
  6. Step 6: Final answer
    x = 297,706.80

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.