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Finding the Third Proportional to 279,635.25 and 437,446.25

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Solution

The third proportional to 279,635.25 and 437,446.25 is: 684,317.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,635.25 : 437,446.25 = 437,446.25 : x
  2. Step 2: Convert to fraction form
    279,635.25/437,446.25 = 437,446.25/x
  3. Step 3: Cross multiply
    279,635.25x = 437,446.25 × 437,446.25
  4. Step 4: Simplify right side
    279,635.25x = 191,359,221,639.06
  5. Step 5: Solve for x
    x = 191,359,221,639.06/279,635.25
  6. Step 6: Final answer
    x = 684,317.24

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.