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Finding the Third Proportional to 78,193 and 129,421

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Solution

The third proportional to 78,193 and 129,421 is: 214,210.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,193 : 129,421 = 129,421 : x
  2. Step 2: Convert to fraction form
    78,193/129,421 = 129,421/x
  3. Step 3: Cross multiply
    78,193x = 129,421 × 129,421
  4. Step 4: Simplify right side
    78,193x = 16,749,795,241
  5. Step 5: Solve for x
    x = 16,749,795,241/78,193
  6. Step 6: Final answer
    x = 214,210.93

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.