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Finding the Third Proportional to 202,284 and 443,448

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Solution

The third proportional to 202,284 and 443,448 is: 972,128.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,284 : 443,448 = 443,448 : x
  2. Step 2: Convert to fraction form
    202,284/443,448 = 443,448/x
  3. Step 3: Cross multiply
    202,284x = 443,448 × 443,448
  4. Step 4: Simplify right side
    202,284x = 196,646,128,704
  5. Step 5: Solve for x
    x = 196,646,128,704/202,284
  6. Step 6: Final answer
    x = 972,128.93

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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.