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Finding the Third Proportional to 290,794 and 626,132

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Solution

The third proportional to 290,794 and 626,132 is: 1,348,175.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,794 : 626,132 = 626,132 : x
  2. Step 2: Convert to fraction form
    290,794/626,132 = 626,132/x
  3. Step 3: Cross multiply
    290,794x = 626,132 × 626,132
  4. Step 4: Simplify right side
    290,794x = 392,041,281,424
  5. Step 5: Solve for x
    x = 392,041,281,424/290,794
  6. Step 6: Final answer
    x = 1,348,175.28

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.