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Finding the Third Proportional to 309,218 and 665,181

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Solution

The third proportional to 309,218 and 665,181 is: 1,430,918.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,218 : 665,181 = 665,181 : x
  2. Step 2: Convert to fraction form
    309,218/665,181 = 665,181/x
  3. Step 3: Cross multiply
    309,218x = 665,181 × 665,181
  4. Step 4: Simplify right side
    309,218x = 442,465,762,761
  5. Step 5: Solve for x
    x = 442,465,762,761/309,218
  6. Step 6: Final answer
    x = 1,430,918.52

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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.