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Finding the Third Proportional to 320,053 and 468,245

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Solution

The third proportional to 320,053 and 468,245 is: 685,053.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,053 : 468,245 = 468,245 : x
  2. Step 2: Convert to fraction form
    320,053/468,245 = 468,245/x
  3. Step 3: Cross multiply
    320,053x = 468,245 × 468,245
  4. Step 4: Simplify right side
    320,053x = 219,253,380,025
  5. Step 5: Solve for x
    x = 219,253,380,025/320,053
  6. Step 6: Final answer
    x = 685,053.35

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.