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Finding the Third Proportional to 200,448 and 431,904

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Solution

The third proportional to 200,448 and 431,904 is: 930,620.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,448 : 431,904 = 431,904 : x
  2. Step 2: Convert to fraction form
    200,448/431,904 = 431,904/x
  3. Step 3: Cross multiply
    200,448x = 431,904 × 431,904
  4. Step 4: Simplify right side
    200,448x = 186,541,065,216
  5. Step 5: Solve for x
    x = 186,541,065,216/200,448
  6. Step 6: Final answer
    x = 930,620.74

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.