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Finding the Third Proportional to 317,931 and 480,137

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Solution

The third proportional to 317,931 and 480,137 is: 725,099.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,931 : 480,137 = 480,137 : x
  2. Step 2: Convert to fraction form
    317,931/480,137 = 480,137/x
  3. Step 3: Cross multiply
    317,931x = 480,137 × 480,137
  4. Step 4: Simplify right side
    317,931x = 230,531,538,769
  5. Step 5: Solve for x
    x = 230,531,538,769/317,931
  6. Step 6: Final answer
    x = 725,099.28

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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.