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Finding the Third Proportional to 100,631 and 148,030

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Solution

The third proportional to 100,631 and 148,030 is: 217,754.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,631 : 148,030 = 148,030 : x
  2. Step 2: Convert to fraction form
    100,631/148,030 = 148,030/x
  3. Step 3: Cross multiply
    100,631x = 148,030 × 148,030
  4. Step 4: Simplify right side
    100,631x = 21,912,880,900
  5. Step 5: Solve for x
    x = 21,912,880,900/100,631
  6. Step 6: Final answer
    x = 217,754.78

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.