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Finding the Third Proportional to 30,195 and 70,186.50

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Solution

The third proportional to 30,195 and 70,186.50 is: 163,144.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,195 : 70,186.50 = 70,186.50 : x
  2. Step 2: Convert to fraction form
    30,195/70,186.50 = 70,186.50/x
  3. Step 3: Cross multiply
    30,195x = 70,186.50 × 70,186.50
  4. Step 4: Simplify right side
    30,195x = 4,926,144,782.25
  5. Step 5: Solve for x
    x = 4,926,144,782.25/30,195
  6. Step 6: Final answer
    x = 163,144.39

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.