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Finding the Third Proportional to 134,079 and 213,421

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Solution

The third proportional to 134,079 and 213,421 is: 339,714.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,079 : 213,421 = 213,421 : x
  2. Step 2: Convert to fraction form
    134,079/213,421 = 213,421/x
  3. Step 3: Cross multiply
    134,079x = 213,421 × 213,421
  4. Step 4: Simplify right side
    134,079x = 45,548,523,241
  5. Step 5: Solve for x
    x = 45,548,523,241/134,079
  6. Step 6: Final answer
    x = 339,714.07

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.