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Finding the Third Proportional to 309,744 and 455,544

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Solution

The third proportional to 309,744 and 455,544 is: 669,973.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,744 : 455,544 = 455,544 : x
  2. Step 2: Convert to fraction form
    309,744/455,544 = 455,544/x
  3. Step 3: Cross multiply
    309,744x = 455,544 × 455,544
  4. Step 4: Simplify right side
    309,744x = 207,520,335,936
  5. Step 5: Solve for x
    x = 207,520,335,936/309,744
  6. Step 6: Final answer
    x = 669,973.71

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.