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Finding the Third Proportional to 191,809 and 290,379

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Solution

The third proportional to 191,809 and 290,379 is: 439,603.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,809 : 290,379 = 290,379 : x
  2. Step 2: Convert to fraction form
    191,809/290,379 = 290,379/x
  3. Step 3: Cross multiply
    191,809x = 290,379 × 290,379
  4. Step 4: Simplify right side
    191,809x = 84,319,963,641
  5. Step 5: Solve for x
    x = 84,319,963,641/191,809
  6. Step 6: Final answer
    x = 439,603.79

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.