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Finding the Third Proportional to 290,386.27 and 629,036.30

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Solution

The third proportional to 290,386.27 and 629,036.30 is: 1,362,621.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,386.27 : 629,036.30 = 629,036.30 : x
  2. Step 2: Convert to fraction form
    290,386.27/629,036.30 = 629,036.30/x
  3. Step 3: Cross multiply
    290,386.27x = 629,036.30 × 629,036.30
  4. Step 4: Simplify right side
    290,386.27x = 395,686,662,786.21
  5. Step 5: Solve for x
    x = 395,686,662,786.21/290,386.27
  6. Step 6: Final answer
    x = 1,362,621.82

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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.