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Finding the Third Proportional to 303,436.13 and 455,933.81

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Solution

The third proportional to 303,436.13 and 455,933.81 is: 685,072.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,436.13 : 455,933.81 = 455,933.81 : x
  2. Step 2: Convert to fraction form
    303,436.13/455,933.81 = 455,933.81/x
  3. Step 3: Cross multiply
    303,436.13x = 455,933.81 × 455,933.81
  4. Step 4: Simplify right side
    303,436.13x = 207,875,641,380.79
  5. Step 5: Solve for x
    x = 207,875,641,380.79/303,436.13
  6. Step 6: Final answer
    x = 685,072.16

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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.