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Finding the Third Proportional to 217,995 and 470,385

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Solution

The third proportional to 217,995 and 470,385 is: 1,014,986.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,995 : 470,385 = 470,385 : x
  2. Step 2: Convert to fraction form
    217,995/470,385 = 470,385/x
  3. Step 3: Cross multiply
    217,995x = 470,385 × 470,385
  4. Step 4: Simplify right side
    217,995x = 221,262,048,225
  5. Step 5: Solve for x
    x = 221,262,048,225/217,995
  6. Step 6: Final answer
    x = 1,014,986.80

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.