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Finding the Third Proportional to 313,485 and 484,344

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Solution

The third proportional to 313,485 and 484,344 is: 748,326.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,485 : 484,344 = 484,344 : x
  2. Step 2: Convert to fraction form
    313,485/484,344 = 484,344/x
  3. Step 3: Cross multiply
    313,485x = 484,344 × 484,344
  4. Step 4: Simplify right side
    313,485x = 234,589,110,336
  5. Step 5: Solve for x
    x = 234,589,110,336/313,485
  6. Step 6: Final answer
    x = 748,326.43

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.