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Finding the Third Proportional to 279,709.25 and 430,182.25

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Solution

The third proportional to 279,709.25 and 430,182.25 is: 661,604.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,709.25 : 430,182.25 = 430,182.25 : x
  2. Step 2: Convert to fraction form
    279,709.25/430,182.25 = 430,182.25/x
  3. Step 3: Cross multiply
    279,709.25x = 430,182.25 × 430,182.25
  4. Step 4: Simplify right side
    279,709.25x = 185,056,768,215.06
  5. Step 5: Solve for x
    x = 185,056,768,215.06/279,709.25
  6. Step 6: Final answer
    x = 661,604.03

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.