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Finding the Third Proportional to 30,305 and 64,822

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Solution

The third proportional to 30,305 and 64,822 is: 138,653.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,305 : 64,822 = 64,822 : x
  2. Step 2: Convert to fraction form
    30,305/64,822 = 64,822/x
  3. Step 3: Cross multiply
    30,305x = 64,822 × 64,822
  4. Step 4: Simplify right side
    30,305x = 4,201,891,684
  5. Step 5: Solve for x
    x = 4,201,891,684/30,305
  6. Step 6: Final answer
    x = 138,653.41

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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.