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Finding the Third Proportional to 51,780 and 75,158

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Solution

The third proportional to 51,780 and 75,158 is: 109,090.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,780 : 75,158 = 75,158 : x
  2. Step 2: Convert to fraction form
    51,780/75,158 = 75,158/x
  3. Step 3: Cross multiply
    51,780x = 75,158 × 75,158
  4. Step 4: Simplify right side
    51,780x = 5,648,724,964
  5. Step 5: Solve for x
    x = 5,648,724,964/51,780
  6. Step 6: Final answer
    x = 109,090.86

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.