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Finding the Third Proportional to 216,363 and 470,824

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Solution

The third proportional to 216,363 and 470,824 is: 1,024,552.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,363 : 470,824 = 470,824 : x
  2. Step 2: Convert to fraction form
    216,363/470,824 = 470,824/x
  3. Step 3: Cross multiply
    216,363x = 470,824 × 470,824
  4. Step 4: Simplify right side
    216,363x = 221,675,238,976
  5. Step 5: Solve for x
    x = 221,675,238,976/216,363
  6. Step 6: Final answer
    x = 1,024,552.44

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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.