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Finding the Third Proportional to 143,719 and 302,321

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Solution

The third proportional to 143,719 and 302,321 is: 635,949.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,719 : 302,321 = 302,321 : x
  2. Step 2: Convert to fraction form
    143,719/302,321 = 302,321/x
  3. Step 3: Cross multiply
    143,719x = 302,321 × 302,321
  4. Step 4: Simplify right side
    143,719x = 91,397,987,041
  5. Step 5: Solve for x
    x = 91,397,987,041/143,719
  6. Step 6: Final answer
    x = 635,949.23

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.