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Finding the Third Proportional to 193,550 and 290,409

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Solution

The third proportional to 193,550 and 290,409 is: 435,739.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,550 : 290,409 = 290,409 : x
  2. Step 2: Convert to fraction form
    193,550/290,409 = 290,409/x
  3. Step 3: Cross multiply
    193,550x = 290,409 × 290,409
  4. Step 4: Simplify right side
    193,550x = 84,337,387,281
  5. Step 5: Solve for x
    x = 84,337,387,281/193,550
  6. Step 6: Final answer
    x = 435,739.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.