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Finding the Third Proportional to 121,418 and 190,065

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Solution

The third proportional to 121,418 and 190,065 is: 297,523.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,418 : 190,065 = 190,065 : x
  2. Step 2: Convert to fraction form
    121,418/190,065 = 190,065/x
  3. Step 3: Cross multiply
    121,418x = 190,065 × 190,065
  4. Step 4: Simplify right side
    121,418x = 36,124,704,225
  5. Step 5: Solve for x
    x = 36,124,704,225/121,418
  6. Step 6: Final answer
    x = 297,523.47

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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.