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Finding the Third Proportional to 129,743.63 and 285,047.25

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Solution

The third proportional to 129,743.63 and 285,047.25 is: 626,249.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,743.63 : 285,047.25 = 285,047.25 : x
  2. Step 2: Convert to fraction form
    129,743.63/285,047.25 = 285,047.25/x
  3. Step 3: Cross multiply
    129,743.63x = 285,047.25 × 285,047.25
  4. Step 4: Simplify right side
    129,743.63x = 81,251,934,732.56
  5. Step 5: Solve for x
    x = 81,251,934,732.56/129,743.63
  6. Step 6: Final answer
    x = 626,249.92

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.