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Finding the Third Proportional to 191,724 and 290,268

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Solution

The third proportional to 191,724 and 290,268 is: 439,462.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,724 : 290,268 = 290,268 : x
  2. Step 2: Convert to fraction form
    191,724/290,268 = 290,268/x
  3. Step 3: Cross multiply
    191,724x = 290,268 × 290,268
  4. Step 4: Simplify right side
    191,724x = 84,255,511,824
  5. Step 5: Solve for x
    x = 84,255,511,824/191,724
  6. Step 6: Final answer
    x = 439,462.52

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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.