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Finding the Third Proportional to 148,134 and 318,747

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Solution

The third proportional to 148,134 and 318,747 is: 685,863.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,134 : 318,747 = 318,747 : x
  2. Step 2: Convert to fraction form
    148,134/318,747 = 318,747/x
  3. Step 3: Cross multiply
    148,134x = 318,747 × 318,747
  4. Step 4: Simplify right side
    148,134x = 101,599,650,009
  5. Step 5: Solve for x
    x = 101,599,650,009/148,134
  6. Step 6: Final answer
    x = 685,863.14

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.