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Finding the Third Proportional to 222,122 and 316,570

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Solution

The third proportional to 222,122 and 316,570 is: 451,178.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,122 : 316,570 = 316,570 : x
  2. Step 2: Convert to fraction form
    222,122/316,570 = 316,570/x
  3. Step 3: Cross multiply
    222,122x = 316,570 × 316,570
  4. Step 4: Simplify right side
    222,122x = 100,216,564,900
  5. Step 5: Solve for x
    x = 100,216,564,900/222,122
  6. Step 6: Final answer
    x = 451,178.02

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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.