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Finding the Third Proportional to 149,202 and 305,297

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Solution

The third proportional to 149,202 and 305,297 is: 624,698.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,202 : 305,297 = 305,297 : x
  2. Step 2: Convert to fraction form
    149,202/305,297 = 305,297/x
  3. Step 3: Cross multiply
    149,202x = 305,297 × 305,297
  4. Step 4: Simplify right side
    149,202x = 93,206,258,209
  5. Step 5: Solve for x
    x = 93,206,258,209/149,202
  6. Step 6: Final answer
    x = 624,698.45

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.