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Finding the Third Proportional to 53,780 and 78,765

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Solution

The third proportional to 53,780 and 78,765 is: 115,357.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,780 : 78,765 = 78,765 : x
  2. Step 2: Convert to fraction form
    53,780/78,765 = 78,765/x
  3. Step 3: Cross multiply
    53,780x = 78,765 × 78,765
  4. Step 4: Simplify right side
    53,780x = 6,203,925,225
  5. Step 5: Solve for x
    x = 6,203,925,225/53,780
  6. Step 6: Final answer
    x = 115,357.48

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.