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Finding the Third Proportional to 222,600 and 456,138

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Solution

The third proportional to 222,600 and 456,138 is: 934,689.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,600 : 456,138 = 456,138 : x
  2. Step 2: Convert to fraction form
    222,600/456,138 = 456,138/x
  3. Step 3: Cross multiply
    222,600x = 456,138 × 456,138
  4. Step 4: Simplify right side
    222,600x = 208,061,875,044
  5. Step 5: Solve for x
    x = 208,061,875,044/222,600
  6. Step 6: Final answer
    x = 934,689.47

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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.