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Finding the Third Proportional to 72,624 and 149,258

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Solution

The third proportional to 72,624 and 149,258 is: 306,757.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,624 : 149,258 = 149,258 : x
  2. Step 2: Convert to fraction form
    72,624/149,258 = 149,258/x
  3. Step 3: Cross multiply
    72,624x = 149,258 × 149,258
  4. Step 4: Simplify right side
    72,624x = 22,277,950,564
  5. Step 5: Solve for x
    x = 22,277,950,564/72,624
  6. Step 6: Final answer
    x = 306,757.42

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.