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Finding the Third Proportional to 76,438.69 and 165,638.67

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Solution

The third proportional to 76,438.69 and 165,638.67 is: 358,930.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,438.69 : 165,638.67 = 165,638.67 : x
  2. Step 2: Convert to fraction form
    76,438.69/165,638.67 = 165,638.67/x
  3. Step 3: Cross multiply
    76,438.69x = 165,638.67 × 165,638.67
  4. Step 4: Simplify right side
    76,438.69x = 27,436,169,620.51
  5. Step 5: Solve for x
    x = 27,436,169,620.51/76,438.69
  6. Step 6: Final answer
    x = 358,930.41

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.