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Finding the Third Proportional to 290,119 and 623,092

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Solution

The third proportional to 290,119 and 623,092 is: 1,338,222.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,119 : 623,092 = 623,092 : x
  2. Step 2: Convert to fraction form
    290,119/623,092 = 623,092/x
  3. Step 3: Cross multiply
    290,119x = 623,092 × 623,092
  4. Step 4: Simplify right side
    290,119x = 388,243,640,464
  5. Step 5: Solve for x
    x = 388,243,640,464/290,119
  6. Step 6: Final answer
    x = 1,338,222.04

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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.