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Finding the Third Proportional to 290,476.13 and 629,218.13

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Solution

The third proportional to 290,476.13 and 629,218.13 is: 1,362,987.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,476.13 : 629,218.13 = 629,218.13 : x
  2. Step 2: Convert to fraction form
    290,476.13/629,218.13 = 629,218.13/x
  3. Step 3: Cross multiply
    290,476.13x = 629,218.13 × 629,218.13
  4. Step 4: Simplify right side
    290,476.13x = 395,915,448,828.52
  5. Step 5: Solve for x
    x = 395,915,448,828.52/290,476.13
  6. Step 6: Final answer
    x = 1,362,987.92

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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.