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Finding the Third Proportional to 70,578 and 146,964

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Solution

The third proportional to 70,578 and 146,964 is: 306,021.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,578 : 146,964 = 146,964 : x
  2. Step 2: Convert to fraction form
    70,578/146,964 = 146,964/x
  3. Step 3: Cross multiply
    70,578x = 146,964 × 146,964
  4. Step 4: Simplify right side
    70,578x = 21,598,417,296
  5. Step 5: Solve for x
    x = 21,598,417,296/70,578
  6. Step 6: Final answer
    x = 306,021.95

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.