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Finding the Third Proportional to 290,420.12 and 629,106.59

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Solution

The third proportional to 290,420.12 and 629,106.59 is: 1,362,767.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,420.12 : 629,106.59 = 629,106.59 : x
  2. Step 2: Convert to fraction form
    290,420.12/629,106.59 = 629,106.59/x
  3. Step 3: Cross multiply
    290,420.12x = 629,106.59 × 629,106.59
  4. Step 4: Simplify right side
    290,420.12x = 395,775,103,842.29
  5. Step 5: Solve for x
    x = 395,775,103,842.29/290,420.12
  6. Step 6: Final answer
    x = 1,362,767.51

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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.