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Finding the Third Proportional to 426,602 and 918,238

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Solution

The third proportional to 426,602 and 918,238 is: 1,976,458.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,602 : 918,238 = 918,238 : x
  2. Step 2: Convert to fraction form
    426,602/918,238 = 918,238/x
  3. Step 3: Cross multiply
    426,602x = 918,238 × 918,238
  4. Step 4: Simplify right side
    426,602x = 843,161,024,644
  5. Step 5: Solve for x
    x = 843,161,024,644/426,602
  6. Step 6: Final answer
    x = 1,976,458.21

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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.