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Finding the Third Proportional to 117,302 and 255,780

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Solution

The third proportional to 117,302 and 255,780 is: 557,734.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,302 : 255,780 = 255,780 : x
  2. Step 2: Convert to fraction form
    117,302/255,780 = 255,780/x
  3. Step 3: Cross multiply
    117,302x = 255,780 × 255,780
  4. Step 4: Simplify right side
    117,302x = 65,423,408,400
  5. Step 5: Solve for x
    x = 65,423,408,400/117,302
  6. Step 6: Final answer
    x = 557,734.81

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.