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Finding the Third Proportional to 57,135.38 and 121,181.63

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Solution

The third proportional to 57,135.38 and 121,181.63 is: 257,020.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,135.38 : 121,181.63 = 121,181.63 : x
  2. Step 2: Convert to fraction form
    57,135.38/121,181.63 = 121,181.63/x
  3. Step 3: Cross multiply
    57,135.38x = 121,181.63 × 121,181.63
  4. Step 4: Simplify right side
    57,135.38x = 14,684,986,237.64
  5. Step 5: Solve for x
    x = 14,684,986,237.64/57,135.38
  6. Step 6: Final answer
    x = 257,020.91

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.