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Finding the Third Proportional to 317,927 and 480,131

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Solution

The third proportional to 317,927 and 480,131 is: 725,090.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,927 : 480,131 = 480,131 : x
  2. Step 2: Convert to fraction form
    317,927/480,131 = 480,131/x
  3. Step 3: Cross multiply
    317,927x = 480,131 × 480,131
  4. Step 4: Simplify right side
    317,927x = 230,525,777,161
  5. Step 5: Solve for x
    x = 230,525,777,161/317,927
  6. Step 6: Final answer
    x = 725,090.28

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.