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Finding the Third Proportional to 309,221.50 and 665,188

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Solution

The third proportional to 309,221.50 and 665,188 is: 1,430,932.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,221.50 : 665,188 = 665,188 : x
  2. Step 2: Convert to fraction form
    309,221.50/665,188 = 665,188/x
  3. Step 3: Cross multiply
    309,221.50x = 665,188 × 665,188
  4. Step 4: Simplify right side
    309,221.50x = 442,475,075,344
  5. Step 5: Solve for x
    x = 442,475,075,344/309,221.50
  6. Step 6: Final answer
    x = 1,430,932.44

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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.