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Finding the Third Proportional to 192,050 and 290,729

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Solution

The third proportional to 192,050 and 290,729 is: 440,111.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,050 : 290,729 = 290,729 : x
  2. Step 2: Convert to fraction form
    192,050/290,729 = 290,729/x
  3. Step 3: Cross multiply
    192,050x = 290,729 × 290,729
  4. Step 4: Simplify right side
    192,050x = 84,523,351,441
  5. Step 5: Solve for x
    x = 84,523,351,441/192,050
  6. Step 6: Final answer
    x = 440,111.18

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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.