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Finding the Third Proportional to 279,076 and 445,542

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Solution

The third proportional to 279,076 and 445,542 is: 711,303.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,076 : 445,542 = 445,542 : x
  2. Step 2: Convert to fraction form
    279,076/445,542 = 445,542/x
  3. Step 3: Cross multiply
    279,076x = 445,542 × 445,542
  4. Step 4: Simplify right side
    279,076x = 198,507,673,764
  5. Step 5: Solve for x
    x = 198,507,673,764/279,076
  6. Step 6: Final answer
    x = 711,303.28

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.