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Finding the Third Proportional to 69,873 and 151,560

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Solution

The third proportional to 69,873 and 151,560 is: 328,745.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,873 : 151,560 = 151,560 : x
  2. Step 2: Convert to fraction form
    69,873/151,560 = 151,560/x
  3. Step 3: Cross multiply
    69,873x = 151,560 × 151,560
  4. Step 4: Simplify right side
    69,873x = 22,970,433,600
  5. Step 5: Solve for x
    x = 22,970,433,600/69,873
  6. Step 6: Final answer
    x = 328,745.49

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.