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Finding the Third Proportional to 192,403.50 and 295,986

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Solution

The third proportional to 192,403.50 and 295,986 is: 455,333.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,403.50 : 295,986 = 295,986 : x
  2. Step 2: Convert to fraction form
    192,403.50/295,986 = 295,986/x
  3. Step 3: Cross multiply
    192,403.50x = 295,986 × 295,986
  4. Step 4: Simplify right side
    192,403.50x = 87,607,712,196
  5. Step 5: Solve for x
    x = 87,607,712,196/192,403.50
  6. Step 6: Final answer
    x = 455,333.26

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.