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Finding the Third Proportional to 56,221 and 120,780

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Solution

The third proportional to 56,221 and 120,780 is: 259,472.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,221 : 120,780 = 120,780 : x
  2. Step 2: Convert to fraction form
    56,221/120,780 = 120,780/x
  3. Step 3: Cross multiply
    56,221x = 120,780 × 120,780
  4. Step 4: Simplify right side
    56,221x = 14,587,808,400
  5. Step 5: Solve for x
    x = 14,587,808,400/56,221
  6. Step 6: Final answer
    x = 259,472.59

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.