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Finding the Third Proportional to 431,198 and 907,074

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Solution

The third proportional to 431,198 and 907,074 is: 1,908,133.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,198 : 907,074 = 907,074 : x
  2. Step 2: Convert to fraction form
    431,198/907,074 = 907,074/x
  3. Step 3: Cross multiply
    431,198x = 907,074 × 907,074
  4. Step 4: Simplify right side
    431,198x = 822,783,241,476
  5. Step 5: Solve for x
    x = 822,783,241,476/431,198
  6. Step 6: Final answer
    x = 1,908,133.25

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.