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Finding the Third Proportional to 78,669 and 120,989.81

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Solution

The third proportional to 78,669 and 120,989.81 is: 186,077.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,669 : 120,989.81 = 120,989.81 : x
  2. Step 2: Convert to fraction form
    78,669/120,989.81 = 120,989.81/x
  3. Step 3: Cross multiply
    78,669x = 120,989.81 × 120,989.81
  4. Step 4: Simplify right side
    78,669x = 14,638,534,728.79
  5. Step 5: Solve for x
    x = 14,638,534,728.79/78,669
  6. Step 6: Final answer
    x = 186,077.55

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.