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Finding the Third Proportional to 55,383.09 and 121,488.47

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Solution

The third proportional to 55,383.09 and 121,488.47 is: 266,497.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,383.09 : 121,488.47 = 121,488.47 : x
  2. Step 2: Convert to fraction form
    55,383.09/121,488.47 = 121,488.47/x
  3. Step 3: Cross multiply
    55,383.09x = 121,488.47 × 121,488.47
  4. Step 4: Simplify right side
    55,383.09x = 14,759,448,039.22
  5. Step 5: Solve for x
    x = 14,759,448,039.22/55,383.09
  6. Step 6: Final answer
    x = 266,497.36

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.