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Finding the Third Proportional to 69,508 and 148,858

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Solution

The third proportional to 69,508 and 148,858 is: 318,793.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,508 : 148,858 = 148,858 : x
  2. Step 2: Convert to fraction form
    69,508/148,858 = 148,858/x
  3. Step 3: Cross multiply
    69,508x = 148,858 × 148,858
  4. Step 4: Simplify right side
    69,508x = 22,158,704,164
  5. Step 5: Solve for x
    x = 22,158,704,164/69,508
  6. Step 6: Final answer
    x = 318,793.58

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.