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Finding the Third Proportional to 399,012 and 559,894

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Solution

The third proportional to 399,012 and 559,894 is: 785,643.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,012 : 559,894 = 559,894 : x
  2. Step 2: Convert to fraction form
    399,012/559,894 = 559,894/x
  3. Step 3: Cross multiply
    399,012x = 559,894 × 559,894
  4. Step 4: Simplify right side
    399,012x = 313,481,291,236
  5. Step 5: Solve for x
    x = 313,481,291,236/399,012
  6. Step 6: Final answer
    x = 785,643.77

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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.