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Finding the Third Proportional to 431,208 and 929,808

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Solution

The third proportional to 431,208 and 929,808 is: 2,004,932.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,208 : 929,808 = 929,808 : x
  2. Step 2: Convert to fraction form
    431,208/929,808 = 929,808/x
  3. Step 3: Cross multiply
    431,208x = 929,808 × 929,808
  4. Step 4: Simplify right side
    431,208x = 864,542,916,864
  5. Step 5: Solve for x
    x = 864,542,916,864/431,208
  6. Step 6: Final answer
    x = 2,004,932.46

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.