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Finding the Third Proportional to 290,304 and 642,816

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Solution

The third proportional to 290,304 and 642,816 is: 1,423,378.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,304 : 642,816 = 642,816 : x
  2. Step 2: Convert to fraction form
    290,304/642,816 = 642,816/x
  3. Step 3: Cross multiply
    290,304x = 642,816 × 642,816
  4. Step 4: Simplify right side
    290,304x = 413,212,409,856
  5. Step 5: Solve for x
    x = 413,212,409,856/290,304
  6. Step 6: Final answer
    x = 1,423,378.29

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.