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Finding the Third Proportional to 70,700 and 103,930

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Solution

The third proportional to 70,700 and 103,930 is: 152,778.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,700 : 103,930 = 103,930 : x
  2. Step 2: Convert to fraction form
    70,700/103,930 = 103,930/x
  3. Step 3: Cross multiply
    70,700x = 103,930 × 103,930
  4. Step 4: Simplify right side
    70,700x = 10,801,444,900
  5. Step 5: Solve for x
    x = 10,801,444,900/70,700
  6. Step 6: Final answer
    x = 152,778.57

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.