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Finding the Third Proportional to 222,680 and 456,292

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Solution

The third proportional to 222,680 and 456,292 is: 934,984.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,680 : 456,292 = 456,292 : x
  2. Step 2: Convert to fraction form
    222,680/456,292 = 456,292/x
  3. Step 3: Cross multiply
    222,680x = 456,292 × 456,292
  4. Step 4: Simplify right side
    222,680x = 208,202,389,264
  5. Step 5: Solve for x
    x = 208,202,389,264/222,680
  6. Step 6: Final answer
    x = 934,984.68

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.