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Finding the Third Proportional to 70,000 and 105,360

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Solution

The third proportional to 70,000 and 105,360 is: 158,581.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,000 : 105,360 = 105,360 : x
  2. Step 2: Convert to fraction form
    70,000/105,360 = 105,360/x
  3. Step 3: Cross multiply
    70,000x = 105,360 × 105,360
  4. Step 4: Simplify right side
    70,000x = 11,100,729,600
  5. Step 5: Solve for x
    x = 11,100,729,600/70,000
  6. Step 6: Final answer
    x = 158,581.85

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.