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Finding the Third Proportional to 202,484 and 443,128

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Solution

The third proportional to 202,484 and 443,128 is: 969,767.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,484 : 443,128 = 443,128 : x
  2. Step 2: Convert to fraction form
    202,484/443,128 = 443,128/x
  3. Step 3: Cross multiply
    202,484x = 443,128 × 443,128
  4. Step 4: Simplify right side
    202,484x = 196,362,424,384
  5. Step 5: Solve for x
    x = 196,362,424,384/202,484
  6. Step 6: Final answer
    x = 969,767.61

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.