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Finding the Third Proportional to 356,620 and 485,722

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Solution

The third proportional to 356,620 and 485,722 is: 661,560.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,620 : 485,722 = 485,722 : x
  2. Step 2: Convert to fraction form
    356,620/485,722 = 485,722/x
  3. Step 3: Cross multiply
    356,620x = 485,722 × 485,722
  4. Step 4: Simplify right side
    356,620x = 235,925,861,284
  5. Step 5: Solve for x
    x = 235,925,861,284/356,620
  6. Step 6: Final answer
    x = 661,560.94

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.