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Finding the Third Proportional to 303,753.80 and 391,968.49

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Solution

The third proportional to 303,753.80 and 391,968.49 is: 505,802.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,753.80 : 391,968.49 = 391,968.49 : x
  2. Step 2: Convert to fraction form
    303,753.80/391,968.49 = 391,968.49/x
  3. Step 3: Cross multiply
    303,753.80x = 391,968.49 × 391,968.49
  4. Step 4: Simplify right side
    303,753.80x = 153,639,298,867.74
  5. Step 5: Solve for x
    x = 153,639,298,867.74/303,753.80
  6. Step 6: Final answer
    x = 505,802.07

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Why These Related Problems?

These problems maintain the same ratio (1.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.