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Finding the Third Proportional to 292,986 and 639,666

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Solution

The third proportional to 292,986 and 639,666 is: 1,396,560.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,986 : 639,666 = 639,666 : x
  2. Step 2: Convert to fraction form
    292,986/639,666 = 639,666/x
  3. Step 3: Cross multiply
    292,986x = 639,666 × 639,666
  4. Step 4: Simplify right side
    292,986x = 409,172,591,556
  5. Step 5: Solve for x
    x = 409,172,591,556/292,986
  6. Step 6: Final answer
    x = 1,396,560.22

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.