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Finding the Third Proportional to 209,216 and 460,660

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Solution

The third proportional to 209,216 and 460,660 is: 1,014,299.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,216 : 460,660 = 460,660 : x
  2. Step 2: Convert to fraction form
    209,216/460,660 = 460,660/x
  3. Step 3: Cross multiply
    209,216x = 460,660 × 460,660
  4. Step 4: Simplify right side
    209,216x = 212,207,635,600
  5. Step 5: Solve for x
    x = 212,207,635,600/209,216
  6. Step 6: Final answer
    x = 1,014,299.27

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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.