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Finding the Third Proportional to 70,570 and 100,311

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Solution

The third proportional to 70,570 and 100,311 is: 142,586.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,570 : 100,311 = 100,311 : x
  2. Step 2: Convert to fraction form
    70,570/100,311 = 100,311/x
  3. Step 3: Cross multiply
    70,570x = 100,311 × 100,311
  4. Step 4: Simplify right side
    70,570x = 10,062,296,721
  5. Step 5: Solve for x
    x = 10,062,296,721/70,570
  6. Step 6: Final answer
    x = 142,586.04

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.