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Finding the Third Proportional to 55,395.77 and 120,817.20

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Solution

The third proportional to 55,395.77 and 120,817.20 is: 263,500.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,395.77 : 120,817.20 = 120,817.20 : x
  2. Step 2: Convert to fraction form
    55,395.77/120,817.20 = 120,817.20/x
  3. Step 3: Cross multiply
    55,395.77x = 120,817.20 × 120,817.20
  4. Step 4: Simplify right side
    55,395.77x = 14,596,794,683.18
  5. Step 5: Solve for x
    x = 14,596,794,683.18/55,395.77
  6. Step 6: Final answer
    x = 263,500.15

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.