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Finding the Third Proportional to 121,088 and 188,139

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Solution

The third proportional to 121,088 and 188,139 is: 292,318.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,088 : 188,139 = 188,139 : x
  2. Step 2: Convert to fraction form
    121,088/188,139 = 188,139/x
  3. Step 3: Cross multiply
    121,088x = 188,139 × 188,139
  4. Step 4: Simplify right side
    121,088x = 35,396,283,321
  5. Step 5: Solve for x
    x = 35,396,283,321/121,088
  6. Step 6: Final answer
    x = 292,318.67

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.