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Finding the Third Proportional to 321,289.88 and 705,625.88

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Solution

The third proportional to 321,289.88 and 705,625.88 is: 1,549,715.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,289.88 : 705,625.88 = 705,625.88 : x
  2. Step 2: Convert to fraction form
    321,289.88/705,625.88 = 705,625.88/x
  3. Step 3: Cross multiply
    321,289.88x = 705,625.88 × 705,625.88
  4. Step 4: Simplify right side
    321,289.88x = 497,907,875,469.52
  5. Step 5: Solve for x
    x = 497,907,875,469.52/321,289.88
  6. Step 6: Final answer
    x = 1,549,715.43

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.