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Finding the Third Proportional to 30,285 and 64,722

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Solution

The third proportional to 30,285 and 64,722 is: 138,317.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,285 : 64,722 = 64,722 : x
  2. Step 2: Convert to fraction form
    30,285/64,722 = 64,722/x
  3. Step 3: Cross multiply
    30,285x = 64,722 × 64,722
  4. Step 4: Simplify right side
    30,285x = 4,188,937,284
  5. Step 5: Solve for x
    x = 4,188,937,284/30,285
  6. Step 6: Final answer
    x = 138,317.23

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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.