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Finding the Third Proportional to 214,629 and 423,855

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Solution

The third proportional to 214,629 and 423,855 is: 837,040.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,629 : 423,855 = 423,855 : x
  2. Step 2: Convert to fraction form
    214,629/423,855 = 423,855/x
  3. Step 3: Cross multiply
    214,629x = 423,855 × 423,855
  4. Step 4: Simplify right side
    214,629x = 179,653,061,025
  5. Step 5: Solve for x
    x = 179,653,061,025/214,629
  6. Step 6: Final answer
    x = 837,040.01

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.