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Finding the Third Proportional to 216,405 and 470,916

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Solution

The third proportional to 216,405 and 470,916 is: 1,024,753.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,405 : 470,916 = 470,916 : x
  2. Step 2: Convert to fraction form
    216,405/470,916 = 470,916/x
  3. Step 3: Cross multiply
    216,405x = 470,916 × 470,916
  4. Step 4: Simplify right side
    216,405x = 221,761,879,056
  5. Step 5: Solve for x
    x = 221,761,879,056/216,405
  6. Step 6: Final answer
    x = 1,024,753.95

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.