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Finding the Third Proportional to 431,392 and 918,107

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Solution

The third proportional to 431,392 and 918,107 is: 1,953,954.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,392 : 918,107 = 918,107 : x
  2. Step 2: Convert to fraction form
    431,392/918,107 = 918,107/x
  3. Step 3: Cross multiply
    431,392x = 918,107 × 918,107
  4. Step 4: Simplify right side
    431,392x = 842,920,463,449
  5. Step 5: Solve for x
    x = 842,920,463,449/431,392
  6. Step 6: Final answer
    x = 1,953,954.79

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.