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Finding the Third Proportional to 209,164 and 320,024

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Solution

The third proportional to 209,164 and 320,024 is: 489,641.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,164 : 320,024 = 320,024 : x
  2. Step 2: Convert to fraction form
    209,164/320,024 = 320,024/x
  3. Step 3: Cross multiply
    209,164x = 320,024 × 320,024
  4. Step 4: Simplify right side
    209,164x = 102,415,360,576
  5. Step 5: Solve for x
    x = 102,415,360,576/209,164
  6. Step 6: Final answer
    x = 489,641.43

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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.