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Finding the Third Proportional to 121,413 and 190,039

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Solution

The third proportional to 121,413 and 190,039 is: 297,454.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,413 : 190,039 = 190,039 : x
  2. Step 2: Convert to fraction form
    121,413/190,039 = 190,039/x
  3. Step 3: Cross multiply
    121,413x = 190,039 × 190,039
  4. Step 4: Simplify right side
    121,413x = 36,114,821,521
  5. Step 5: Solve for x
    x = 36,114,821,521/121,413
  6. Step 6: Final answer
    x = 297,454.32

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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.