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Finding the Third Proportional to 129,458 and 203,421

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Solution

The third proportional to 129,458 and 203,421 is: 319,641.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,458 : 203,421 = 203,421 : x
  2. Step 2: Convert to fraction form
    129,458/203,421 = 203,421/x
  3. Step 3: Cross multiply
    129,458x = 203,421 × 203,421
  4. Step 4: Simplify right side
    129,458x = 41,380,103,241
  5. Step 5: Solve for x
    x = 41,380,103,241/129,458
  6. Step 6: Final answer
    x = 319,641.14

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.