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Finding the Third Proportional to 75,780 and 114,722

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Solution

The third proportional to 75,780 and 114,722 is: 173,675.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,780 : 114,722 = 114,722 : x
  2. Step 2: Convert to fraction form
    75,780/114,722 = 114,722/x
  3. Step 3: Cross multiply
    75,780x = 114,722 × 114,722
  4. Step 4: Simplify right side
    75,780x = 13,161,137,284
  5. Step 5: Solve for x
    x = 13,161,137,284/75,780
  6. Step 6: Final answer
    x = 173,675.60

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.