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Finding the Third Proportional to 75,120 and 101,178

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Solution

The third proportional to 75,120 and 101,178 is: 136,275.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,120 : 101,178 = 101,178 : x
  2. Step 2: Convert to fraction form
    75,120/101,178 = 101,178/x
  3. Step 3: Cross multiply
    75,120x = 101,178 × 101,178
  4. Step 4: Simplify right side
    75,120x = 10,236,987,684
  5. Step 5: Solve for x
    x = 10,236,987,684/75,120
  6. Step 6: Final answer
    x = 136,275.13

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.