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Finding the Third Proportional to 399,751.88 and 528,184.13

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Solution

The third proportional to 399,751.88 and 528,184.13 is: 697,879.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,751.88 : 528,184.13 = 528,184.13 : x
  2. Step 2: Convert to fraction form
    399,751.88/528,184.13 = 528,184.13/x
  3. Step 3: Cross multiply
    399,751.88x = 528,184.13 × 528,184.13
  4. Step 4: Simplify right side
    399,751.88x = 278,978,469,902.02
  5. Step 5: Solve for x
    x = 278,978,469,902.02/399,751.88
  6. Step 6: Final answer
    x = 697,879.08

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.