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Finding the Third Proportional to 70,070 and 149,980

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Solution

The third proportional to 70,070 and 149,980 is: 321,021.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,070 : 149,980 = 149,980 : x
  2. Step 2: Convert to fraction form
    70,070/149,980 = 149,980/x
  3. Step 3: Cross multiply
    70,070x = 149,980 × 149,980
  4. Step 4: Simplify right side
    70,070x = 22,494,000,400
  5. Step 5: Solve for x
    x = 22,494,000,400/70,070
  6. Step 6: Final answer
    x = 321,021.84

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.