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Finding the Third Proportional to 120,731.37 and 191,130.77

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Solution

The third proportional to 120,731.37 and 191,130.77 is: 302,580.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,731.37 : 191,130.77 = 191,130.77 : x
  2. Step 2: Convert to fraction form
    120,731.37/191,130.77 = 191,130.77/x
  3. Step 3: Cross multiply
    120,731.37x = 191,130.77 × 191,130.77
  4. Step 4: Simplify right side
    120,731.37x = 36,530,971,994.86
  5. Step 5: Solve for x
    x = 36,530,971,994.86/120,731.37
  6. Step 6: Final answer
    x = 302,580.61

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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.