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Finding the Third Proportional to 75,178 and 112,530

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Solution

The third proportional to 75,178 and 112,530 is: 168,440.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,178 : 112,530 = 112,530 : x
  2. Step 2: Convert to fraction form
    75,178/112,530 = 112,530/x
  3. Step 3: Cross multiply
    75,178x = 112,530 × 112,530
  4. Step 4: Simplify right side
    75,178x = 12,663,000,900
  5. Step 5: Solve for x
    x = 12,663,000,900/75,178
  6. Step 6: Final answer
    x = 168,440.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.