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Finding the Third Proportional to 75,775 and 117,254

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Solution

The third proportional to 75,775 and 117,254 is: 181,438.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,775 : 117,254 = 117,254 : x
  2. Step 2: Convert to fraction form
    75,775/117,254 = 117,254/x
  3. Step 3: Cross multiply
    75,775x = 117,254 × 117,254
  4. Step 4: Simplify right side
    75,775x = 13,748,500,516
  5. Step 5: Solve for x
    x = 13,748,500,516/75,775
  6. Step 6: Final answer
    x = 181,438.48

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.