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Finding the Third Proportional to 303,687 and 666,420

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Solution

The third proportional to 303,687 and 666,420 is: 1,462,412.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,687 : 666,420 = 666,420 : x
  2. Step 2: Convert to fraction form
    303,687/666,420 = 666,420/x
  3. Step 3: Cross multiply
    303,687x = 666,420 × 666,420
  4. Step 4: Simplify right side
    303,687x = 444,115,616,400
  5. Step 5: Solve for x
    x = 444,115,616,400/303,687
  6. Step 6: Final answer
    x = 1,462,412.34

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.