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Finding the Third Proportional to 55,383.19 and 121,488.56

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Solution

The third proportional to 55,383.19 and 121,488.56 is: 266,497.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,383.19 : 121,488.56 = 121,488.56 : x
  2. Step 2: Convert to fraction form
    55,383.19/121,488.56 = 121,488.56/x
  3. Step 3: Cross multiply
    55,383.19x = 121,488.56 × 121,488.56
  4. Step 4: Simplify right side
    55,383.19x = 14,759,470,818.32
  5. Step 5: Solve for x
    x = 14,759,470,818.32/55,383.19
  6. Step 6: Final answer
    x = 266,497.32

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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.