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Finding the Third Proportional to 70,028 and 149,900

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Solution

The third proportional to 70,028 and 149,900 is: 320,871.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,028 : 149,900 = 149,900 : x
  2. Step 2: Convert to fraction form
    70,028/149,900 = 149,900/x
  3. Step 3: Cross multiply
    70,028x = 149,900 × 149,900
  4. Step 4: Simplify right side
    70,028x = 22,470,010,000
  5. Step 5: Solve for x
    x = 22,470,010,000/70,028
  6. Step 6: Final answer
    x = 320,871.79

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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.