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Finding the Third Proportional to 76,958 and 118,130

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Solution

The third proportional to 76,958 and 118,130 is: 181,328.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,958 : 118,130 = 118,130 : x
  2. Step 2: Convert to fraction form
    76,958/118,130 = 118,130/x
  3. Step 3: Cross multiply
    76,958x = 118,130 × 118,130
  4. Step 4: Simplify right side
    76,958x = 13,954,696,900
  5. Step 5: Solve for x
    x = 13,954,696,900/76,958
  6. Step 6: Final answer
    x = 181,328.74

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.