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Finding the Third Proportional to 212,966 and 329,710

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Solution

The third proportional to 212,966 and 329,710 is: 510,450.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,966 : 329,710 = 329,710 : x
  2. Step 2: Convert to fraction form
    212,966/329,710 = 329,710/x
  3. Step 3: Cross multiply
    212,966x = 329,710 × 329,710
  4. Step 4: Simplify right side
    212,966x = 108,708,684,100
  5. Step 5: Solve for x
    x = 108,708,684,100/212,966
  6. Step 6: Final answer
    x = 510,450.89

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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.