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Finding the Third Proportional to 216,208 and 460,479

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Solution

The third proportional to 216,208 and 460,479 is: 980,726.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,208 : 460,479 = 460,479 : x
  2. Step 2: Convert to fraction form
    216,208/460,479 = 460,479/x
  3. Step 3: Cross multiply
    216,208x = 460,479 × 460,479
  4. Step 4: Simplify right side
    216,208x = 212,040,909,441
  5. Step 5: Solve for x
    x = 212,040,909,441/216,208
  6. Step 6: Final answer
    x = 980,726.47

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.