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Finding the Third Proportional to 191,740 and 290,292

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Solution

The third proportional to 191,740 and 290,292 is: 439,498.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,740 : 290,292 = 290,292 : x
  2. Step 2: Convert to fraction form
    191,740/290,292 = 290,292/x
  3. Step 3: Cross multiply
    191,740x = 290,292 × 290,292
  4. Step 4: Simplify right side
    191,740x = 84,269,445,264
  5. Step 5: Solve for x
    x = 84,269,445,264/191,740
  6. Step 6: Final answer
    x = 439,498.51

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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.