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Finding the Third Proportional to 145,449 and 308,505

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Solution

The third proportional to 145,449 and 308,505 is: 654,355.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,449 : 308,505 = 308,505 : x
  2. Step 2: Convert to fraction form
    145,449/308,505 = 308,505/x
  3. Step 3: Cross multiply
    145,449x = 308,505 × 308,505
  4. Step 4: Simplify right side
    145,449x = 95,175,335,025
  5. Step 5: Solve for x
    x = 95,175,335,025/145,449
  6. Step 6: Final answer
    x = 654,355.38

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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.