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Finding the Third Proportional to 76,542 and 120,684

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Solution

The third proportional to 76,542 and 120,684 is: 190,282.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,542 : 120,684 = 120,684 : x
  2. Step 2: Convert to fraction form
    76,542/120,684 = 120,684/x
  3. Step 3: Cross multiply
    76,542x = 120,684 × 120,684
  4. Step 4: Simplify right side
    76,542x = 14,564,627,856
  5. Step 5: Solve for x
    x = 14,564,627,856/76,542
  6. Step 6: Final answer
    x = 190,282.82

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.