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Finding the Third Proportional to 222,140 and 316,590

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Solution

The third proportional to 222,140 and 316,590 is: 451,198.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,140 : 316,590 = 316,590 : x
  2. Step 2: Convert to fraction form
    222,140/316,590 = 316,590/x
  3. Step 3: Cross multiply
    222,140x = 316,590 × 316,590
  4. Step 4: Simplify right side
    222,140x = 100,229,228,100
  5. Step 5: Solve for x
    x = 100,229,228,100/222,140
  6. Step 6: Final answer
    x = 451,198.47

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.