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Finding the Third Proportional to 191,840 and 290,436

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Solution

The third proportional to 191,840 and 290,436 is: 439,705.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,840 : 290,436 = 290,436 : x
  2. Step 2: Convert to fraction form
    191,840/290,436 = 290,436/x
  3. Step 3: Cross multiply
    191,840x = 290,436 × 290,436
  4. Step 4: Simplify right side
    191,840x = 84,353,070,096
  5. Step 5: Solve for x
    x = 84,353,070,096/191,840
  6. Step 6: Final answer
    x = 439,705.33

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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.