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Finding the Third Proportional to 70,763 and 103,228

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Solution

The third proportional to 70,763 and 103,228 is: 150,587.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,763 : 103,228 = 103,228 : x
  2. Step 2: Convert to fraction form
    70,763/103,228 = 103,228/x
  3. Step 3: Cross multiply
    70,763x = 103,228 × 103,228
  4. Step 4: Simplify right side
    70,763x = 10,656,019,984
  5. Step 5: Solve for x
    x = 10,656,019,984/70,763
  6. Step 6: Final answer
    x = 150,587.45

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.