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Finding the Third Proportional to 191,738 and 290,289

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Solution

The third proportional to 191,738 and 290,289 is: 439,494.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,738 : 290,289 = 290,289 : x
  2. Step 2: Convert to fraction form
    191,738/290,289 = 290,289/x
  3. Step 3: Cross multiply
    191,738x = 290,289 × 290,289
  4. Step 4: Simplify right side
    191,738x = 84,267,703,521
  5. Step 5: Solve for x
    x = 84,267,703,521/191,738
  6. Step 6: Final answer
    x = 439,494.02

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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.