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Finding the Third Proportional to 212,932 and 454,430

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Solution

The third proportional to 212,932 and 454,430 is: 969,824.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,932 : 454,430 = 454,430 : x
  2. Step 2: Convert to fraction form
    212,932/454,430 = 454,430/x
  3. Step 3: Cross multiply
    212,932x = 454,430 × 454,430
  4. Step 4: Simplify right side
    212,932x = 206,506,624,900
  5. Step 5: Solve for x
    x = 206,506,624,900/212,932
  6. Step 6: Final answer
    x = 969,824.29

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.