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Finding the Third Proportional to 75,938 and 115,780

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Solution

The third proportional to 75,938 and 115,780 is: 176,525.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,938 : 115,780 = 115,780 : x
  2. Step 2: Convert to fraction form
    75,938/115,780 = 115,780/x
  3. Step 3: Cross multiply
    75,938x = 115,780 × 115,780
  4. Step 4: Simplify right side
    75,938x = 13,405,008,400
  5. Step 5: Solve for x
    x = 13,405,008,400/75,938
  6. Step 6: Final answer
    x = 176,525.70

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.