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Finding the Third Proportional to 55,958 and 128,868.75

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Solution

The third proportional to 55,958 and 128,868.75 is: 296,778.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,958 : 128,868.75 = 128,868.75 : x
  2. Step 2: Convert to fraction form
    55,958/128,868.75 = 128,868.75/x
  3. Step 3: Cross multiply
    55,958x = 128,868.75 × 128,868.75
  4. Step 4: Simplify right side
    55,958x = 16,607,154,726.56
  5. Step 5: Solve for x
    x = 16,607,154,726.56/55,958
  6. Step 6: Final answer
    x = 296,778.92

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.