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Finding the Third Proportional to 127,222 and 168,213

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Solution

The third proportional to 127,222 and 168,213 is: 222,411.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,222 : 168,213 = 168,213 : x
  2. Step 2: Convert to fraction form
    127,222/168,213 = 168,213/x
  3. Step 3: Cross multiply
    127,222x = 168,213 × 168,213
  4. Step 4: Simplify right side
    127,222x = 28,295,613,369
  5. Step 5: Solve for x
    x = 28,295,613,369/127,222
  6. Step 6: Final answer
    x = 222,411.32

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.