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Finding the Third Proportional to 222,160 and 316,620

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Solution

The third proportional to 222,160 and 316,620 is: 451,243.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,160 : 316,620 = 316,620 : x
  2. Step 2: Convert to fraction form
    222,160/316,620 = 316,620/x
  3. Step 3: Cross multiply
    222,160x = 316,620 × 316,620
  4. Step 4: Simplify right side
    222,160x = 100,248,224,400
  5. Step 5: Solve for x
    x = 100,248,224,400/222,160
  6. Step 6: Final answer
    x = 451,243.36

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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.