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Finding the Third Proportional to 216,971 and 470,027

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Solution

The third proportional to 216,971 and 470,027 is: 1,018,225.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,971 : 470,027 = 470,027 : x
  2. Step 2: Convert to fraction form
    216,971/470,027 = 470,027/x
  3. Step 3: Cross multiply
    216,971x = 470,027 × 470,027
  4. Step 4: Simplify right side
    216,971x = 220,925,380,729
  5. Step 5: Solve for x
    x = 220,925,380,729/216,971
  6. Step 6: Final answer
    x = 1,018,225.39

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.