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Finding the Third Proportional to 539,611.88 and 779,584.50

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Solution

The third proportional to 539,611.88 and 779,584.50 is: 1,126,276.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,611.88 : 779,584.50 = 779,584.50 : x
  2. Step 2: Convert to fraction form
    539,611.88/779,584.50 = 779,584.50/x
  3. Step 3: Cross multiply
    539,611.88x = 779,584.50 × 779,584.50
  4. Step 4: Simplify right side
    539,611.88x = 607,751,992,640.25
  5. Step 5: Solve for x
    x = 607,751,992,640.25/539,611.88
  6. Step 6: Final answer
    x = 1,126,276.16

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.