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Finding the Third Proportional to 309,064 and 664,344

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Solution

The third proportional to 309,064 and 664,344 is: 1,428,030.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,064 : 664,344 = 664,344 : x
  2. Step 2: Convert to fraction form
    309,064/664,344 = 664,344/x
  3. Step 3: Cross multiply
    309,064x = 664,344 × 664,344
  4. Step 4: Simplify right side
    309,064x = 441,352,950,336
  5. Step 5: Solve for x
    x = 441,352,950,336/309,064
  6. Step 6: Final answer
    x = 1,428,030.93

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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.