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Finding the Third Proportional to 225,090 and 480,311

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Solution

The third proportional to 225,090 and 480,311 is: 1,024,917.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,090 : 480,311 = 480,311 : x
  2. Step 2: Convert to fraction form
    225,090/480,311 = 480,311/x
  3. Step 3: Cross multiply
    225,090x = 480,311 × 480,311
  4. Step 4: Simplify right side
    225,090x = 230,698,656,721
  5. Step 5: Solve for x
    x = 230,698,656,721/225,090
  6. Step 6: Final answer
    x = 1,024,917.40

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.