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Finding the Third Proportional to 309,206 and 450,687

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Solution

The third proportional to 309,206 and 450,687 is: 656,904.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,206 : 450,687 = 450,687 : x
  2. Step 2: Convert to fraction form
    309,206/450,687 = 450,687/x
  3. Step 3: Cross multiply
    309,206x = 450,687 × 450,687
  4. Step 4: Simplify right side
    309,206x = 203,118,771,969
  5. Step 5: Solve for x
    x = 203,118,771,969/309,206
  6. Step 6: Final answer
    x = 656,904.37

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.