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Finding the Third Proportional to 426,022 and 918,443

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Solution

The third proportional to 426,022 and 918,443 is: 1,980,032.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,022 : 918,443 = 918,443 : x
  2. Step 2: Convert to fraction form
    426,022/918,443 = 918,443/x
  3. Step 3: Cross multiply
    426,022x = 918,443 × 918,443
  4. Step 4: Simplify right side
    426,022x = 843,537,544,249
  5. Step 5: Solve for x
    x = 843,537,544,249/426,022
  6. Step 6: Final answer
    x = 1,980,032.83

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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.