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Finding the Third Proportional to 315,177 and 480,057

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Solution

The third proportional to 315,177 and 480,057 is: 731,191.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,177 : 480,057 = 480,057 : x
  2. Step 2: Convert to fraction form
    315,177/480,057 = 480,057/x
  3. Step 3: Cross multiply
    315,177x = 480,057 × 480,057
  4. Step 4: Simplify right side
    315,177x = 230,454,723,249
  5. Step 5: Solve for x
    x = 230,454,723,249/315,177
  6. Step 6: Final answer
    x = 731,191.44

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.