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Finding the Third Proportional to 202,382 and 444,128

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Solution

The third proportional to 202,382 and 444,128 is: 974,640.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,382 : 444,128 = 444,128 : x
  2. Step 2: Convert to fraction form
    202,382/444,128 = 444,128/x
  3. Step 3: Cross multiply
    202,382x = 444,128 × 444,128
  4. Step 4: Simplify right side
    202,382x = 197,249,680,384
  5. Step 5: Solve for x
    x = 197,249,680,384/202,382
  6. Step 6: Final answer
    x = 974,640.43

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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.