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Finding the Third Proportional to 70,186 and 152,195.50

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Solution

The third proportional to 70,186 and 152,195.50 is: 330,029.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,186 : 152,195.50 = 152,195.50 : x
  2. Step 2: Convert to fraction form
    70,186/152,195.50 = 152,195.50/x
  3. Step 3: Cross multiply
    70,186x = 152,195.50 × 152,195.50
  4. Step 4: Simplify right side
    70,186x = 23,163,470,220.25
  5. Step 5: Solve for x
    x = 23,163,470,220.25/70,186
  6. Step 6: Final answer
    x = 330,029.78

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.