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Finding the Third Proportional to 70,485 and 164,470.75

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Solution

The third proportional to 70,485 and 164,470.75 is: 383,778.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,485 : 164,470.75 = 164,470.75 : x
  2. Step 2: Convert to fraction form
    70,485/164,470.75 = 164,470.75/x
  3. Step 3: Cross multiply
    70,485x = 164,470.75 × 164,470.75
  4. Step 4: Simplify right side
    70,485x = 27,050,627,605.56
  5. Step 5: Solve for x
    x = 27,050,627,605.56/70,485
  6. Step 6: Final answer
    x = 383,778.50

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.