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Finding the Third Proportional to 203,213 and 316,452

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Solution

The third proportional to 203,213 and 316,452 is: 492,792.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,213 : 316,452 = 316,452 : x
  2. Step 2: Convert to fraction form
    203,213/316,452 = 316,452/x
  3. Step 3: Cross multiply
    203,213x = 316,452 × 316,452
  4. Step 4: Simplify right side
    203,213x = 100,141,868,304
  5. Step 5: Solve for x
    x = 100,141,868,304/203,213
  6. Step 6: Final answer
    x = 492,792.63

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.