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Finding the Third Proportional to 212,640 and 329,010

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Solution

The third proportional to 212,640 and 329,010 is: 509,064.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,640 : 329,010 = 329,010 : x
  2. Step 2: Convert to fraction form
    212,640/329,010 = 329,010/x
  3. Step 3: Cross multiply
    212,640x = 329,010 × 329,010
  4. Step 4: Simplify right side
    212,640x = 108,247,580,100
  5. Step 5: Solve for x
    x = 108,247,580,100/212,640
  6. Step 6: Final answer
    x = 509,064.99

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.