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Finding the Third Proportional to 69,689 and 93,639

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Solution

The third proportional to 69,689 and 93,639 is: 125,819.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,689 : 93,639 = 93,639 : x
  2. Step 2: Convert to fraction form
    69,689/93,639 = 93,639/x
  3. Step 3: Cross multiply
    69,689x = 93,639 × 93,639
  4. Step 4: Simplify right side
    69,689x = 8,768,262,321
  5. Step 5: Solve for x
    x = 8,768,262,321/69,689
  6. Step 6: Final answer
    x = 125,819.89

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.