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Finding the Third Proportional to 69,003 and 102,897

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Solution

The third proportional to 69,003 and 102,897 is: 153,439.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,003 : 102,897 = 102,897 : x
  2. Step 2: Convert to fraction form
    69,003/102,897 = 102,897/x
  3. Step 3: Cross multiply
    69,003x = 102,897 × 102,897
  4. Step 4: Simplify right side
    69,003x = 10,587,792,609
  5. Step 5: Solve for x
    x = 10,587,792,609/69,003
  6. Step 6: Final answer
    x = 153,439.60

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.