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Finding the Third Proportional to 145,456 and 308,519

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Solution

The third proportional to 145,456 and 308,519 is: 654,383.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,456 : 308,519 = 308,519 : x
  2. Step 2: Convert to fraction form
    145,456/308,519 = 308,519/x
  3. Step 3: Cross multiply
    145,456x = 308,519 × 308,519
  4. Step 4: Simplify right side
    145,456x = 95,183,973,361
  5. Step 5: Solve for x
    x = 95,183,973,361/145,456
  6. Step 6: Final answer
    x = 654,383.27

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.