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Finding the Third Proportional to 399,000.94 and 548,668.69

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Solution

The third proportional to 399,000.94 and 548,668.69 is: 754,477.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,000.94 : 548,668.69 = 548,668.69 : x
  2. Step 2: Convert to fraction form
    399,000.94/548,668.69 = 548,668.69/x
  3. Step 3: Cross multiply
    399,000.94x = 548,668.69 × 548,668.69
  4. Step 4: Simplify right side
    399,000.94x = 301,037,328,642.97
  5. Step 5: Solve for x
    x = 301,037,328,642.97/399,000.94
  6. Step 6: Final answer
    x = 754,477.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.