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Finding the Third Proportional to 120,408 and 190,818

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Solution

The third proportional to 120,408 and 190,818 is: 302,401.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,408 : 190,818 = 190,818 : x
  2. Step 2: Convert to fraction form
    120,408/190,818 = 190,818/x
  3. Step 3: Cross multiply
    120,408x = 190,818 × 190,818
  4. Step 4: Simplify right side
    120,408x = 36,411,509,124
  5. Step 5: Solve for x
    x = 36,411,509,124/120,408
  6. Step 6: Final answer
    x = 302,401.08

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.