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Finding the Third Proportional to 306,050 and 656,372

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Solution

The third proportional to 306,050 and 656,372 is: 1,407,692.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,050 : 656,372 = 656,372 : x
  2. Step 2: Convert to fraction form
    306,050/656,372 = 656,372/x
  3. Step 3: Cross multiply
    306,050x = 656,372 × 656,372
  4. Step 4: Simplify right side
    306,050x = 430,824,202,384
  5. Step 5: Solve for x
    x = 430,824,202,384/306,050
  6. Step 6: Final answer
    x = 1,407,692.21

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.