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Finding the Third Proportional to 320,599.50 and 705,189

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Solution

The third proportional to 320,599.50 and 705,189 is: 1,551,130.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,599.50 : 705,189 = 705,189 : x
  2. Step 2: Convert to fraction form
    320,599.50/705,189 = 705,189/x
  3. Step 3: Cross multiply
    320,599.50x = 705,189 × 705,189
  4. Step 4: Simplify right side
    320,599.50x = 497,291,525,721
  5. Step 5: Solve for x
    x = 497,291,525,721/320,599.50
  6. Step 6: Final answer
    x = 1,551,130.07

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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.