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Finding the Third Proportional to 317,900 and 480,090

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Solution

The third proportional to 317,900 and 480,090 is: 725,028.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,900 : 480,090 = 480,090 : x
  2. Step 2: Convert to fraction form
    317,900/480,090 = 480,090/x
  3. Step 3: Cross multiply
    317,900x = 480,090 × 480,090
  4. Step 4: Simplify right side
    317,900x = 230,486,408,100
  5. Step 5: Solve for x
    x = 230,486,408,100/317,900
  6. Step 6: Final answer
    x = 725,028.02

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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.