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Finding the Third Proportional to 56,406.38 and 121,629.09

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Solution

The third proportional to 56,406.38 and 121,629.09 is: 262,268.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,406.38 : 121,629.09 = 121,629.09 : x
  2. Step 2: Convert to fraction form
    56,406.38/121,629.09 = 121,629.09/x
  3. Step 3: Cross multiply
    56,406.38x = 121,629.09 × 121,629.09
  4. Step 4: Simplify right side
    56,406.38x = 14,793,636,446.45
  5. Step 5: Solve for x
    x = 14,793,636,446.45/56,406.38
  6. Step 6: Final answer
    x = 262,268.87

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.