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Finding the Third Proportional to 55,495.13 and 120,421.69

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Solution

The third proportional to 55,495.13 and 120,421.69 is: 261,309.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,495.13 : 120,421.69 = 120,421.69 : x
  2. Step 2: Convert to fraction form
    55,495.13/120,421.69 = 120,421.69/x
  3. Step 3: Cross multiply
    55,495.13x = 120,421.69 × 120,421.69
  4. Step 4: Simplify right side
    55,495.13x = 14,501,382,820.35
  5. Step 5: Solve for x
    x = 14,501,382,820.35/55,495.13
  6. Step 6: Final answer
    x = 261,309.13

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.