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Finding the Third Proportional to 263,613.75 and 399,118.13

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Solution

The third proportional to 263,613.75 and 399,118.13 is: 604,275.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,613.75 : 399,118.13 = 399,118.13 : x
  2. Step 2: Convert to fraction form
    263,613.75/399,118.13 = 399,118.13/x
  3. Step 3: Cross multiply
    263,613.75x = 399,118.13 × 399,118.13
  4. Step 4: Simplify right side
    263,613.75x = 159,295,277,703.52
  5. Step 5: Solve for x
    x = 159,295,277,703.52/263,613.75
  6. Step 6: Final answer
    x = 604,275.30

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.