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Finding the Third Proportional to 145,296 and 299,880

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Solution

The third proportional to 145,296 and 299,880 is: 618,929.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,296 : 299,880 = 299,880 : x
  2. Step 2: Convert to fraction form
    145,296/299,880 = 299,880/x
  3. Step 3: Cross multiply
    145,296x = 299,880 × 299,880
  4. Step 4: Simplify right side
    145,296x = 89,928,014,400
  5. Step 5: Solve for x
    x = 89,928,014,400/145,296
  6. Step 6: Final answer
    x = 618,929.73

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.