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Finding the Third Proportional to 64,873 and 142,517

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Solution

The third proportional to 64,873 and 142,517 is: 313,090.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,873 : 142,517 = 142,517 : x
  2. Step 2: Convert to fraction form
    64,873/142,517 = 142,517/x
  3. Step 3: Cross multiply
    64,873x = 142,517 × 142,517
  4. Step 4: Simplify right side
    64,873x = 20,311,095,289
  5. Step 5: Solve for x
    x = 20,311,095,289/64,873
  6. Step 6: Final answer
    x = 313,090.12

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.