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Finding the Third Proportional to 64,621 and 141,243

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Solution

The third proportional to 64,621 and 141,243 is: 308,716.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,621 : 141,243 = 141,243 : x
  2. Step 2: Convert to fraction form
    64,621/141,243 = 141,243/x
  3. Step 3: Cross multiply
    64,621x = 141,243 × 141,243
  4. Step 4: Simplify right side
    64,621x = 19,949,585,049
  5. Step 5: Solve for x
    x = 19,949,585,049/64,621
  6. Step 6: Final answer
    x = 308,716.75

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.