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Finding the Third Proportional to 216,207 and 465,630

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Solution

The third proportional to 216,207 and 465,630 is: 1,002,794.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,207 : 465,630 = 465,630 : x
  2. Step 2: Convert to fraction form
    216,207/465,630 = 465,630/x
  3. Step 3: Cross multiply
    216,207x = 465,630 × 465,630
  4. Step 4: Simplify right side
    216,207x = 216,811,296,900
  5. Step 5: Solve for x
    x = 216,811,296,900/216,207
  6. Step 6: Final answer
    x = 1,002,794.99

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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.