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Finding the Third Proportional to 309,218.75 and 665,182.75

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Solution

The third proportional to 309,218.75 and 665,182.75 is: 1,430,922.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,218.75 : 665,182.75 = 665,182.75 : x
  2. Step 2: Convert to fraction form
    309,218.75/665,182.75 = 665,182.75/x
  3. Step 3: Cross multiply
    309,218.75x = 665,182.75 × 665,182.75
  4. Step 4: Simplify right side
    309,218.75x = 442,468,090,897.56
  5. Step 5: Solve for x
    x = 442,468,090,897.56/309,218.75
  6. Step 6: Final answer
    x = 1,430,922.58

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.