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Finding the Third Proportional to 424,824.75 and 453,939.19

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Solution

The third proportional to 424,824.75 and 453,939.19 is: 485,048.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,824.75 : 453,939.19 = 453,939.19 : x
  2. Step 2: Convert to fraction form
    424,824.75/453,939.19 = 453,939.19/x
  3. Step 3: Cross multiply
    424,824.75x = 453,939.19 × 453,939.19
  4. Step 4: Simplify right side
    424,824.75x = 206,060,785,948.16
  5. Step 5: Solve for x
    x = 206,060,785,948.16/424,824.75
  6. Step 6: Final answer
    x = 485,048.92

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These problems maintain the same ratio (1.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.