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Finding the Third Proportional to 431,134 and 889,940

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Solution

The third proportional to 431,134 and 889,940 is: 1,837,000.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,134 : 889,940 = 889,940 : x
  2. Step 2: Convert to fraction form
    431,134/889,940 = 889,940/x
  3. Step 3: Cross multiply
    431,134x = 889,940 × 889,940
  4. Step 4: Simplify right side
    431,134x = 791,993,203,600
  5. Step 5: Solve for x
    x = 791,993,203,600/431,134
  6. Step 6: Final answer
    x = 1,837,000.11

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.