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Finding the Third Proportional to 303,313.50 and 455,943

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Solution

The third proportional to 303,313.50 and 455,943 is: 685,376.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,313.50 : 455,943 = 455,943 : x
  2. Step 2: Convert to fraction form
    303,313.50/455,943 = 455,943/x
  3. Step 3: Cross multiply
    303,313.50x = 455,943 × 455,943
  4. Step 4: Simplify right side
    303,313.50x = 207,884,019,249
  5. Step 5: Solve for x
    x = 207,884,019,249/303,313.50
  6. Step 6: Final answer
    x = 685,376.74

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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.