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Finding the Third Proportional to 290,526.75 and 629,299.13

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Solution

The third proportional to 290,526.75 and 629,299.13 is: 1,363,101.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,526.75 : 629,299.13 = 629,299.13 : x
  2. Step 2: Convert to fraction form
    290,526.75/629,299.13 = 629,299.13/x
  3. Step 3: Cross multiply
    290,526.75x = 629,299.13 × 629,299.13
  4. Step 4: Simplify right side
    290,526.75x = 396,017,388,725.77
  5. Step 5: Solve for x
    x = 396,017,388,725.77/290,526.75
  6. Step 6: Final answer
    x = 1,363,101.29

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.