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Finding the Third Proportional to 78,927.75 and 120,740.63

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Solution

The third proportional to 78,927.75 and 120,740.63 is: 184,704.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,927.75 : 120,740.63 = 120,740.63 : x
  2. Step 2: Convert to fraction form
    78,927.75/120,740.63 = 120,740.63/x
  3. Step 3: Cross multiply
    78,927.75x = 120,740.63 × 120,740.63
  4. Step 4: Simplify right side
    78,927.75x = 14,578,298,525.39
  5. Step 5: Solve for x
    x = 14,578,298,525.39/78,927.75
  6. Step 6: Final answer
    x = 184,704.35

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.