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Finding the Third Proportional to 138,426 and 212,208

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Solution

The third proportional to 138,426 and 212,208 is: 325,316.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,426 : 212,208 = 212,208 : x
  2. Step 2: Convert to fraction form
    138,426/212,208 = 212,208/x
  3. Step 3: Cross multiply
    138,426x = 212,208 × 212,208
  4. Step 4: Simplify right side
    138,426x = 45,032,235,264
  5. Step 5: Solve for x
    x = 45,032,235,264/138,426
  6. Step 6: Final answer
    x = 325,316.31

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.