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Finding the Third Proportional to 55,309.13 and 120,664.50

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Solution

The third proportional to 55,309.13 and 120,664.50 is: 263,246.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,309.13 : 120,664.50 = 120,664.50 : x
  2. Step 2: Convert to fraction form
    55,309.13/120,664.50 = 120,664.50/x
  3. Step 3: Cross multiply
    55,309.13x = 120,664.50 × 120,664.50
  4. Step 4: Simplify right side
    55,309.13x = 14,559,921,560.25
  5. Step 5: Solve for x
    x = 14,559,921,560.25/55,309.13
  6. Step 6: Final answer
    x = 263,246.28

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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.