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Finding the Third Proportional to 209,014 and 320,265

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Solution

The third proportional to 209,014 and 320,265 is: 490,731.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,014 : 320,265 = 320,265 : x
  2. Step 2: Convert to fraction form
    209,014/320,265 = 320,265/x
  3. Step 3: Cross multiply
    209,014x = 320,265 × 320,265
  4. Step 4: Simplify right side
    209,014x = 102,569,670,225
  5. Step 5: Solve for x
    x = 102,569,670,225/209,014
  6. Step 6: Final answer
    x = 490,731.10

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.