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Finding the Third Proportional to 211,785 and 465,042

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Solution

The third proportional to 211,785 and 465,042 is: 1,021,149.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,785 : 465,042 = 465,042 : x
  2. Step 2: Convert to fraction form
    211,785/465,042 = 465,042/x
  3. Step 3: Cross multiply
    211,785x = 465,042 × 465,042
  4. Step 4: Simplify right side
    211,785x = 216,264,061,764
  5. Step 5: Solve for x
    x = 216,264,061,764/211,785
  6. Step 6: Final answer
    x = 1,021,149.10

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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.