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Finding the Third Proportional to 76,340 and 105,485

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Solution

The third proportional to 76,340 and 105,485 is: 145,756.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,340 : 105,485 = 105,485 : x
  2. Step 2: Convert to fraction form
    76,340/105,485 = 105,485/x
  3. Step 3: Cross multiply
    76,340x = 105,485 × 105,485
  4. Step 4: Simplify right side
    76,340x = 11,127,085,225
  5. Step 5: Solve for x
    x = 11,127,085,225/76,340
  6. Step 6: Final answer
    x = 145,756.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.