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Finding the Third Proportional to 310,504 and 480,930

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Solution

The third proportional to 310,504 and 480,930 is: 744,897.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,504 : 480,930 = 480,930 : x
  2. Step 2: Convert to fraction form
    310,504/480,930 = 480,930/x
  3. Step 3: Cross multiply
    310,504x = 480,930 × 480,930
  4. Step 4: Simplify right side
    310,504x = 231,293,664,900
  5. Step 5: Solve for x
    x = 231,293,664,900/310,504
  6. Step 6: Final answer
    x = 744,897.54

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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.