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Finding the Third Proportional to 139,523 and 305,587

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Solution

The third proportional to 139,523 and 305,587 is: 669,304.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,523 : 305,587 = 305,587 : x
  2. Step 2: Convert to fraction form
    139,523/305,587 = 305,587/x
  3. Step 3: Cross multiply
    139,523x = 305,587 × 305,587
  4. Step 4: Simplify right side
    139,523x = 93,383,414,569
  5. Step 5: Solve for x
    x = 93,383,414,569/139,523
  6. Step 6: Final answer
    x = 669,304.81

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.