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Finding the Third Proportional to 418,122 and 920,646

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Solution

The third proportional to 418,122 and 920,646 is: 2,027,133.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,122 : 920,646 = 920,646 : x
  2. Step 2: Convert to fraction form
    418,122/920,646 = 920,646/x
  3. Step 3: Cross multiply
    418,122x = 920,646 × 920,646
  4. Step 4: Simplify right side
    418,122x = 847,589,057,316
  5. Step 5: Solve for x
    x = 847,589,057,316/418,122
  6. Step 6: Final answer
    x = 2,027,133.37

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.