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Finding the Third Proportional to 290,366 and 442,930

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Solution

The third proportional to 290,366 and 442,930 is: 675,654.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,366 : 442,930 = 442,930 : x
  2. Step 2: Convert to fraction form
    290,366/442,930 = 442,930/x
  3. Step 3: Cross multiply
    290,366x = 442,930 × 442,930
  4. Step 4: Simplify right side
    290,366x = 196,186,984,900
  5. Step 5: Solve for x
    x = 196,186,984,900/290,366
  6. Step 6: Final answer
    x = 675,654.12

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.