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Finding the Third Proportional to 310,925 and 480,131

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Solution

The third proportional to 310,925 and 480,131 is: 741,419.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,925 : 480,131 = 480,131 : x
  2. Step 2: Convert to fraction form
    310,925/480,131 = 480,131/x
  3. Step 3: Cross multiply
    310,925x = 480,131 × 480,131
  4. Step 4: Simplify right side
    310,925x = 230,525,777,161
  5. Step 5: Solve for x
    x = 230,525,777,161/310,925
  6. Step 6: Final answer
    x = 741,419.24

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.