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Finding the Third Proportional to 290,880 and 606,666

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Solution

The third proportional to 290,880 and 606,666 is: 1,265,276.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,880 : 606,666 = 606,666 : x
  2. Step 2: Convert to fraction form
    290,880/606,666 = 606,666/x
  3. Step 3: Cross multiply
    290,880x = 606,666 × 606,666
  4. Step 4: Simplify right side
    290,880x = 368,043,635,556
  5. Step 5: Solve for x
    x = 368,043,635,556/290,880
  6. Step 6: Final answer
    x = 1,265,276.52

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.