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Finding the Third Proportional to 278,622 and 406,011

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Solution

The third proportional to 278,622 and 406,011 is: 591,643.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,622 : 406,011 = 406,011 : x
  2. Step 2: Convert to fraction form
    278,622/406,011 = 406,011/x
  3. Step 3: Cross multiply
    278,622x = 406,011 × 406,011
  4. Step 4: Simplify right side
    278,622x = 164,844,932,121
  5. Step 5: Solve for x
    x = 164,844,932,121/278,622
  6. Step 6: Final answer
    x = 591,643.63

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.