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Finding the Third Proportional to 399,004 and 559,882

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Solution

The third proportional to 399,004 and 559,882 is: 785,625.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,004 : 559,882 = 559,882 : x
  2. Step 2: Convert to fraction form
    399,004/559,882 = 559,882/x
  3. Step 3: Cross multiply
    399,004x = 559,882 × 559,882
  4. Step 4: Simplify right side
    399,004x = 313,467,853,924
  5. Step 5: Solve for x
    x = 313,467,853,924/399,004
  6. Step 6: Final answer
    x = 785,625.84

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.